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Finding the Fourth Proportional to 418,475.30, 577,489.10 and 227,493.50

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Solution

The fourth proportional to 418,475.30, 577,489.10 and 227,493.50 is: 313,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,475.30 : 577,489.10 = 227,493.50 : x
  2. Step 2: Convert to fraction form
    418,475.30/577,489.10 = 227,493.50/x
  3. Step 3: Cross multiply
    418,475.30x = 577,489.10 × 227,493.50
  4. Step 4: Simplify right side
    418,475.30x = 131,375,016,570.85
  5. Step 5: Solve for x
    x = 131,375,016,570.85/418,475.30
  6. Step 6: Final answer
    x = 313,937.33

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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.