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Finding the Fourth Proportional to 329,102.46, 493,672.86 and 92,463.59

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Solution

The fourth proportional to 329,102.46, 493,672.86 and 92,463.59 is: 138,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,102.46 : 493,672.86 = 92,463.59 : x
  2. Step 2: Convert to fraction form
    329,102.46/493,672.86 = 92,463.59/x
  3. Step 3: Cross multiply
    329,102.46x = 493,672.86 × 92,463.59
  4. Step 4: Simplify right side
    329,102.46x = 45,646,766,155.35
  5. Step 5: Solve for x
    x = 45,646,766,155.35/329,102.46
  6. Step 6: Final answer
    x = 138,700.77

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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.