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Finding the Fourth Proportional to 566,144.38, 781,150.80 and 413,265.88

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Solution

The fourth proportional to 566,144.38, 781,150.80 and 413,265.88 is: 570,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,144.38 : 781,150.80 = 413,265.88 : x
  2. Step 2: Convert to fraction form
    566,144.38/781,150.80 = 413,265.88/x
  3. Step 3: Cross multiply
    566,144.38x = 781,150.80 × 413,265.88
  4. Step 4: Simplify right side
    566,144.38x = 322,822,972,774.70
  5. Step 5: Solve for x
    x = 322,822,972,774.70/566,144.38
  6. Step 6: Final answer
    x = 570,213.15

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Double scale
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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.