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Finding the Fourth Proportional to 664,584.13, 996,876.21 and 165,948.13

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Solution

The fourth proportional to 664,584.13, 996,876.21 and 165,948.13 is: 248,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,584.13 : 996,876.21 = 165,948.13 : x
  2. Step 2: Convert to fraction form
    664,584.13/996,876.21 = 165,948.13/x
  3. Step 3: Cross multiply
    664,584.13x = 996,876.21 × 165,948.13
  4. Step 4: Simplify right side
    664,584.13x = 165,429,742,890.99
  5. Step 5: Solve for x
    x = 165,429,742,890.99/664,584.13
  6. Step 6: Final answer
    x = 248,922.20

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Half scale
Find fourth proportional to 1,329,168.26, 1,993,752.42 and 331,896.26
Double scale
Find fourth proportional to 664,585.13, 996,877.71 and 165,949.13
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.