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Finding the Fourth Proportional to 418,806.29, 577,957.11 and 227,820.17

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Solution

The fourth proportional to 418,806.29, 577,957.11 and 227,820.17 is: 314,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,806.29 : 577,957.11 = 227,820.17 : x
  2. Step 2: Convert to fraction form
    418,806.29/577,957.11 = 227,820.17/x
  3. Step 3: Cross multiply
    418,806.29x = 577,957.11 × 227,820.17
  4. Step 4: Simplify right side
    418,806.29x = 131,670,287,052.91
  5. Step 5: Solve for x
    x = 131,670,287,052.91/418,806.29
  6. Step 6: Final answer
    x = 314,394.24

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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.