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Finding the Fourth Proportional to 402,593.25, 555,578.69 and 232,838.31

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Solution

The fourth proportional to 402,593.25, 555,578.69 and 232,838.31 is: 321,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,593.25 : 555,578.69 = 232,838.31 : x
  2. Step 2: Convert to fraction form
    402,593.25/555,578.69 = 232,838.31/x
  3. Step 3: Cross multiply
    402,593.25x = 555,578.69 × 232,838.31
  4. Step 4: Simplify right side
    402,593.25x = 129,360,003,251.61
  5. Step 5: Solve for x
    x = 129,360,003,251.61/402,593.25
  6. Step 6: Final answer
    x = 321,316.87

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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.