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Finding the Fourth Proportional to 381,920.76, 572,877.47 and 232,202.39

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Solution

The fourth proportional to 381,920.76, 572,877.47 and 232,202.39 is: 348,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,920.76 : 572,877.47 = 232,202.39 : x
  2. Step 2: Convert to fraction form
    381,920.76/572,877.47 = 232,202.39/x
  3. Step 3: Cross multiply
    381,920.76x = 572,877.47 × 232,202.39
  4. Step 4: Simplify right side
    381,920.76x = 133,023,515,427.27
  5. Step 5: Solve for x
    x = 133,023,515,427.27/381,920.76
  6. Step 6: Final answer
    x = 348,301.35

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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.