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Finding the Fourth Proportional to 381,925.76, 572,884.98 and 232,207.40

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Solution

The fourth proportional to 381,925.76, 572,884.98 and 232,207.40 is: 348,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,925.76 : 572,884.98 = 232,207.40 : x
  2. Step 2: Convert to fraction form
    381,925.76/572,884.98 = 232,207.40/x
  3. Step 3: Cross multiply
    381,925.76x = 572,884.98 × 232,207.40
  4. Step 4: Simplify right side
    381,925.76x = 133,028,131,704.85
  5. Step 5: Solve for x
    x = 133,028,131,704.85/381,925.76
  6. Step 6: Final answer
    x = 348,308.87

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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.