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Finding the Fourth Proportional to 502,972.80, 754,459.20 and 469,511.70

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Solution

The fourth proportional to 502,972.80, 754,459.20 and 469,511.70 is: 704,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,972.80 : 754,459.20 = 469,511.70 : x
  2. Step 2: Convert to fraction form
    502,972.80/754,459.20 = 469,511.70/x
  3. Step 3: Cross multiply
    502,972.80x = 754,459.20 × 469,511.70
  4. Step 4: Simplify right side
    502,972.80x = 354,227,421,572.64
  5. Step 5: Solve for x
    x = 354,227,421,572.64/502,972.80
  6. Step 6: Final answer
    x = 704,267.55

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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.