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Finding the Fourth Proportional to 664,146.30, 916,532.10 and 362,340.30

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Solution

The fourth proportional to 664,146.30, 916,532.10 and 362,340.30 is: 500,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,146.30 : 916,532.10 = 362,340.30 : x
  2. Step 2: Convert to fraction form
    664,146.30/916,532.10 = 362,340.30/x
  3. Step 3: Cross multiply
    664,146.30x = 916,532.10 × 362,340.30
  4. Step 4: Simplify right side
    664,146.30x = 332,096,516,073.63
  5. Step 5: Solve for x
    x = 332,096,516,073.63/664,146.30
  6. Step 6: Final answer
    x = 500,035.18

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Half scale
Find fourth proportional to 1,328,292.60, 1,833,064.20 and 724,680.60
Double scale
Find fourth proportional to 664,147.30, 916,533.48 and 362,341.30
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.