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Finding the Fourth Proportional to 429,011.38, 592,035.78 and 238,024.31

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Solution

The fourth proportional to 429,011.38, 592,035.78 and 238,024.31 is: 328,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,011.38 : 592,035.78 = 238,024.31 : x
  2. Step 2: Convert to fraction form
    429,011.38/592,035.78 = 238,024.31/x
  3. Step 3: Cross multiply
    429,011.38x = 592,035.78 × 238,024.31
  4. Step 4: Simplify right side
    429,011.38x = 140,918,906,839.69
  5. Step 5: Solve for x
    x = 140,918,906,839.69/429,011.38
  6. Step 6: Final answer
    x = 328,473.59

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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.