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Finding the Fourth Proportional to 431,733.92, 595,796.68 and 238,149.04

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Solution

The fourth proportional to 431,733.92, 595,796.68 and 238,149.04 is: 328,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,733.92 : 595,796.68 = 238,149.04 : x
  2. Step 2: Convert to fraction form
    431,733.92/595,796.68 = 238,149.04/x
  3. Step 3: Cross multiply
    431,733.92x = 595,796.68 × 238,149.04
  4. Step 4: Simplify right side
    431,733.92x = 141,888,407,377.19
  5. Step 5: Solve for x
    x = 141,888,407,377.19/431,733.92
  6. Step 6: Final answer
    x = 328,647.81

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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.