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Finding the Fourth Proportional to 329,164.88, 493,747.31 and 92,507.56

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Solution

The fourth proportional to 329,164.88, 493,747.31 and 92,507.56 is: 138,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,164.88 : 493,747.31 = 92,507.56 : x
  2. Step 2: Convert to fraction form
    329,164.88/493,747.31 = 92,507.56/x
  3. Step 3: Cross multiply
    329,164.88x = 493,747.31 × 92,507.56
  4. Step 4: Simplify right side
    329,164.88x = 45,675,358,904.66
  5. Step 5: Solve for x
    x = 45,675,358,904.66/329,164.88
  6. Step 6: Final answer
    x = 138,761.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.