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Finding the Fourth Proportional to 704,123.75, 971,691.03 and 381,833.75

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Solution

The fourth proportional to 704,123.75, 971,691.03 and 381,833.75 is: 526,930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,123.75 : 971,691.03 = 381,833.75 : x
  2. Step 2: Convert to fraction form
    704,123.75/971,691.03 = 381,833.75/x
  3. Step 3: Cross multiply
    704,123.75x = 971,691.03 × 381,833.75
  4. Step 4: Simplify right side
    704,123.75x = 371,024,432,255.49
  5. Step 5: Solve for x
    x = 371,024,432,255.49/704,123.75
  6. Step 6: Final answer
    x = 526,930.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.