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Finding the Fourth Proportional to 577,624.86, 866,449.17 and 178,265.88

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Solution

The fourth proportional to 577,624.86, 866,449.17 and 178,265.88 is: 267,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,624.86 : 866,449.17 = 178,265.88 : x
  2. Step 2: Convert to fraction form
    577,624.86/866,449.17 = 178,265.88/x
  3. Step 3: Cross multiply
    577,624.86x = 866,449.17 × 178,265.88
  4. Step 4: Simplify right side
    577,624.86x = 154,458,323,765.32
  5. Step 5: Solve for x
    x = 154,458,323,765.32/577,624.86
  6. Step 6: Final answer
    x = 267,402.49

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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.