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Finding the Fourth Proportional to 687,663.88, 948,951.66 and 381,753.61

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Solution

The fourth proportional to 687,663.88, 948,951.66 and 381,753.61 is: 526,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,663.88 : 948,951.66 = 381,753.61 : x
  2. Step 2: Convert to fraction form
    687,663.88/948,951.66 = 381,753.61/x
  3. Step 3: Cross multiply
    687,663.88x = 948,951.66 × 381,753.61
  4. Step 4: Simplify right side
    687,663.88x = 362,265,721,920.49
  5. Step 5: Solve for x
    x = 362,265,721,920.49/687,663.88
  6. Step 6: Final answer
    x = 526,806.38

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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.