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Finding the Fourth Proportional to 418,793.26, 577,939.20 and 227,807.14

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Solution

The fourth proportional to 418,793.26, 577,939.20 and 227,807.14 is: 314,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,793.26 : 577,939.20 = 227,807.14 : x
  2. Step 2: Convert to fraction form
    418,793.26/577,939.20 = 227,807.14/x
  3. Step 3: Cross multiply
    418,793.26x = 577,939.20 × 227,807.14
  4. Step 4: Simplify right side
    418,793.26x = 131,658,676,245.89
  5. Step 5: Solve for x
    x = 131,658,676,245.89/418,793.26
  6. Step 6: Final answer
    x = 314,376.30

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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.