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Finding the Fourth Proportional to 431,882.38, 595,993.74 and 238,291.88

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Solution

The fourth proportional to 431,882.38, 595,993.74 and 238,291.88 is: 328,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,882.38 : 595,993.74 = 238,291.88 : x
  2. Step 2: Convert to fraction form
    431,882.38/595,993.74 = 238,291.88/x
  3. Step 3: Cross multiply
    431,882.38x = 595,993.74 × 238,291.88
  4. Step 4: Simplify right side
    431,882.38x = 142,020,468,772.83
  5. Step 5: Solve for x
    x = 142,020,468,772.83/431,882.38
  6. Step 6: Final answer
    x = 328,840.62

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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.