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Finding the Fourth Proportional to 331,656.46, 457,685.88 and 180,753.46

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Solution

The fourth proportional to 331,656.46, 457,685.88 and 180,753.46 is: 249,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,656.46 : 457,685.88 = 180,753.46 : x
  2. Step 2: Convert to fraction form
    331,656.46/457,685.88 = 180,753.46/x
  3. Step 3: Cross multiply
    331,656.46x = 457,685.88 × 180,753.46
  4. Step 4: Simplify right side
    331,656.46x = 82,728,306,403.14
  5. Step 5: Solve for x
    x = 82,728,306,403.14/331,656.46
  6. Step 6: Final answer
    x = 249,439.76

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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.