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Finding the Fourth Proportional to 329,170.38, 493,678.89 and 92,535.90

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Solution

The fourth proportional to 329,170.38, 493,678.89 and 92,535.90 is: 138,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,170.38 : 493,678.89 = 92,535.90 : x
  2. Step 2: Convert to fraction form
    329,170.38/493,678.89 = 92,535.90/x
  3. Step 3: Cross multiply
    329,170.38x = 493,678.89 × 92,535.90
  4. Step 4: Simplify right side
    329,170.38x = 45,683,020,397.15
  5. Step 5: Solve for x
    x = 45,683,020,397.15/329,170.38
  6. Step 6: Final answer
    x = 138,782.29

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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.