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Finding the Fourth Proportional to 413,902.38, 571,232.65 and 230,159.30

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Solution

The fourth proportional to 413,902.38, 571,232.65 and 230,159.30 is: 317,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,902.38 : 571,232.65 = 230,159.30 : x
  2. Step 2: Convert to fraction form
    413,902.38/571,232.65 = 230,159.30/x
  3. Step 3: Cross multiply
    413,902.38x = 571,232.65 × 230,159.30
  4. Step 4: Simplify right side
    413,902.38x = 131,474,504,004.98
  5. Step 5: Solve for x
    x = 131,474,504,004.98/413,902.38
  6. Step 6: Final answer
    x = 317,646.17

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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.