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Finding the Fourth Proportional to 542,565.85, 813,769.53 and 158,211.41

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Solution

The fourth proportional to 542,565.85, 813,769.53 and 158,211.41 is: 237,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,565.85 : 813,769.53 = 158,211.41 : x
  2. Step 2: Convert to fraction form
    542,565.85/813,769.53 = 158,211.41/x
  3. Step 3: Cross multiply
    542,565.85x = 813,769.53 × 158,211.41
  4. Step 4: Simplify right side
    542,565.85x = 128,747,627,087.41
  5. Step 5: Solve for x
    x = 128,747,627,087.41/542,565.85
  6. Step 6: Final answer
    x = 237,294.01

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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.