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Finding the Fourth Proportional to 418,162.57, 577,062.84 and 227,174.29

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Solution

The fourth proportional to 418,162.57, 577,062.84 and 227,174.29 is: 313,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,162.57 : 577,062.84 = 227,174.29 : x
  2. Step 2: Convert to fraction form
    418,162.57/577,062.84 = 227,174.29/x
  3. Step 3: Cross multiply
    418,162.57x = 577,062.84 × 227,174.29
  4. Step 4: Simplify right side
    418,162.57x = 131,093,840,962.38
  5. Step 5: Solve for x
    x = 131,093,840,962.38/418,162.57
  6. Step 6: Final answer
    x = 313,499.70

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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.