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Finding the Fourth Proportional to 521,375.12, 782,098.18 and 166,415.86

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Solution

The fourth proportional to 521,375.12, 782,098.18 and 166,415.86 is: 249,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,375.12 : 782,098.18 = 166,415.86 : x
  2. Step 2: Convert to fraction form
    521,375.12/782,098.18 = 166,415.86/x
  3. Step 3: Cross multiply
    521,375.12x = 782,098.18 × 166,415.86
  4. Step 4: Simplify right side
    521,375.12x = 130,153,541,229.14
  5. Step 5: Solve for x
    x = 130,153,541,229.14/521,375.12
  6. Step 6: Final answer
    x = 249,635.12

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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.