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Finding the Fourth Proportional to 567,820.72, 852,321.84 and 418,229.92

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Solution

The fourth proportional to 567,820.72, 852,321.84 and 418,229.92 is: 627,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,820.72 : 852,321.84 = 418,229.92 : x
  2. Step 2: Convert to fraction form
    567,820.72/852,321.84 = 418,229.92/x
  3. Step 3: Cross multiply
    567,820.72x = 852,321.84 × 418,229.92
  4. Step 4: Simplify right side
    567,820.72x = 356,466,494,957.45
  5. Step 5: Solve for x
    x = 356,466,494,957.45/567,820.72
  6. Step 6: Final answer
    x = 627,780.01

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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.