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Finding the Fourth Proportional to 429,805.88, 593,121.34 and 238,819.76

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Solution

The fourth proportional to 429,805.88, 593,121.34 and 238,819.76 is: 329,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,805.88 : 593,121.34 = 238,819.76 : x
  2. Step 2: Convert to fraction form
    429,805.88/593,121.34 = 238,819.76/x
  3. Step 3: Cross multiply
    429,805.88x = 593,121.34 × 238,819.76
  4. Step 4: Simplify right side
    429,805.88x = 141,649,098,149.53
  5. Step 5: Solve for x
    x = 141,649,098,149.53/429,805.88
  6. Step 6: Final answer
    x = 329,565.28

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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.