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Finding the Fourth Proportional to 409,898.10, 614,947.17 and 157,174.05

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Solution

The fourth proportional to 409,898.10, 614,947.17 and 157,174.05 is: 235,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,898.10 : 614,947.17 = 157,174.05 : x
  2. Step 2: Convert to fraction form
    409,898.10/614,947.17 = 157,174.05/x
  3. Step 3: Cross multiply
    409,898.10x = 614,947.17 × 157,174.05
  4. Step 4: Simplify right side
    409,898.10x = 96,653,737,244.94
  5. Step 5: Solve for x
    x = 96,653,737,244.94/409,898.10
  6. Step 6: Final answer
    x = 235,799.43

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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.