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Finding the Fourth Proportional to 333,563, 460,317.14 and 180,602.52

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Solution

The fourth proportional to 333,563, 460,317.14 and 180,602.52 is: 249,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,563 : 460,317.14 = 180,602.52 : x
  2. Step 2: Convert to fraction form
    333,563/460,317.14 = 180,602.52/x
  3. Step 3: Cross multiply
    333,563x = 460,317.14 × 180,602.52
  4. Step 4: Simplify right side
    333,563x = 83,134,435,483.19
  5. Step 5: Solve for x
    x = 83,134,435,483.19/333,563
  6. Step 6: Final answer
    x = 249,231.59

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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.