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Finding the Fourth Proportional to 542,472.62, 813,698.13 and 168,494.54

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Solution

The fourth proportional to 542,472.62, 813,698.13 and 168,494.54 is: 252,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,472.62 : 813,698.13 = 168,494.54 : x
  2. Step 2: Convert to fraction form
    542,472.62/813,698.13 = 168,494.54/x
  3. Step 3: Cross multiply
    542,472.62x = 813,698.13 × 168,494.54
  4. Step 4: Simplify right side
    542,472.62x = 137,103,692,113.21
  5. Step 5: Solve for x
    x = 137,103,692,113.21/542,472.62
  6. Step 6: Final answer
    x = 252,738.46

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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.