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Finding the Fourth Proportional to 429,747.58, 593,070.12 and 238,760.97

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Solution

The fourth proportional to 429,747.58, 593,070.12 and 238,760.97 is: 329,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,747.58 : 593,070.12 = 238,760.97 : x
  2. Step 2: Convert to fraction form
    429,747.58/593,070.12 = 238,760.97/x
  3. Step 3: Cross multiply
    429,747.58x = 593,070.12 × 238,760.97
  4. Step 4: Simplify right side
    429,747.58x = 141,601,997,418.09
  5. Step 5: Solve for x
    x = 141,601,997,418.09/429,747.58
  6. Step 6: Final answer
    x = 329,500.39

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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.