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Finding the Fourth Proportional to 381,877.40, 572,600.10 and 145,227.80

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Solution

The fourth proportional to 381,877.40, 572,600.10 and 145,227.80 is: 217,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,877.40 : 572,600.10 = 145,227.80 : x
  2. Step 2: Convert to fraction form
    381,877.40/572,600.10 = 145,227.80/x
  3. Step 3: Cross multiply
    381,877.40x = 572,600.10 × 145,227.80
  4. Step 4: Simplify right side
    381,877.40x = 83,157,452,802.78
  5. Step 5: Solve for x
    x = 83,157,452,802.78/381,877.40
  6. Step 6: Final answer
    x = 217,759.56

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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.