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Finding the Fourth Proportional to 502,801.40, 754,202.10 and 414,227.90

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Solution

The fourth proportional to 502,801.40, 754,202.10 and 414,227.90 is: 621,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,801.40 : 754,202.10 = 414,227.90 : x
  2. Step 2: Convert to fraction form
    502,801.40/754,202.10 = 414,227.90/x
  3. Step 3: Cross multiply
    502,801.40x = 754,202.10 × 414,227.90
  4. Step 4: Simplify right side
    502,801.40x = 312,411,552,058.59
  5. Step 5: Solve for x
    x = 312,411,552,058.59/502,801.40
  6. Step 6: Final answer
    x = 621,341.85

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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.