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Finding the Fourth Proportional to 329,145.92, 493,737.32 and 92,470.14

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Solution

The fourth proportional to 329,145.92, 493,737.32 and 92,470.14 is: 138,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,145.92 : 493,737.32 = 92,470.14 : x
  2. Step 2: Convert to fraction form
    329,145.92/493,737.32 = 92,470.14/x
  3. Step 3: Cross multiply
    329,145.92x = 493,737.32 × 92,470.14
  4. Step 4: Simplify right side
    329,145.92x = 45,655,959,103.62
  5. Step 5: Solve for x
    x = 45,655,959,103.62/329,145.92
  6. Step 6: Final answer
    x = 138,710.39

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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.