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Finding the Fourth Proportional to 475,972.20, 715,124.70 and 357,874.20

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Solution

The fourth proportional to 475,972.20, 715,124.70 and 357,874.20 is: 537,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,972.20 : 715,124.70 = 357,874.20 : x
  2. Step 2: Convert to fraction form
    475,972.20/715,124.70 = 357,874.20/x
  3. Step 3: Cross multiply
    475,972.20x = 715,124.70 × 357,874.20
  4. Step 4: Simplify right side
    475,972.20x = 255,924,679,912.74
  5. Step 5: Solve for x
    x = 255,924,679,912.74/475,972.20
  6. Step 6: Final answer
    x = 537,688.29

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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.