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Finding the Fourth Proportional to 418,732.84, 577,854.02 and 227,747.56

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Solution

The fourth proportional to 418,732.84, 577,854.02 and 227,747.56 is: 314,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,732.84 : 577,854.02 = 227,747.56 : x
  2. Step 2: Convert to fraction form
    418,732.84/577,854.02 = 227,747.56/x
  3. Step 3: Cross multiply
    418,732.84x = 577,854.02 × 227,747.56
  4. Step 4: Simplify right side
    418,732.84x = 131,604,843,091.19
  5. Step 5: Solve for x
    x = 131,604,843,091.19/418,732.84
  6. Step 6: Final answer
    x = 314,293.10

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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.