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Finding the Fourth Proportional to 418,227.87, 577,146.15 and 227,242.63

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Solution

The fourth proportional to 418,227.87, 577,146.15 and 227,242.63 is: 313,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,227.87 : 577,146.15 = 227,242.63 : x
  2. Step 2: Convert to fraction form
    418,227.87/577,146.15 = 227,242.63/x
  3. Step 3: Cross multiply
    418,227.87x = 577,146.15 × 227,242.63
  4. Step 4: Simplify right side
    418,227.87x = 131,152,209,020.38
  5. Step 5: Solve for x
    x = 131,152,209,020.38/418,227.87
  6. Step 6: Final answer
    x = 313,590.31

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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.