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Finding the Fourth Proportional to 703,982.46, 971,491.14 and 381,691.56

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Solution

The fourth proportional to 703,982.46, 971,491.14 and 381,691.56 is: 526,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,982.46 : 971,491.14 = 381,691.56 : x
  2. Step 2: Convert to fraction form
    703,982.46/971,491.14 = 381,691.56/x
  3. Step 3: Cross multiply
    703,982.46x = 971,491.14 × 381,691.56
  4. Step 4: Simplify right side
    703,982.46x = 370,809,968,752.78
  5. Step 5: Solve for x
    x = 370,809,968,752.78/703,982.46
  6. Step 6: Final answer
    x = 526,731.83

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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.