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Finding the Fourth Proportional to 577,634.88, 866,464.20 and 178,275.92

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Solution

The fourth proportional to 577,634.88, 866,464.20 and 178,275.92 is: 267,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,634.88 : 866,464.20 = 178,275.92 : x
  2. Step 2: Convert to fraction form
    577,634.88/866,464.20 = 178,275.92/x
  3. Step 3: Cross multiply
    577,634.88x = 866,464.20 × 178,275.92
  4. Step 4: Simplify right side
    577,634.88x = 154,469,702,402.06
  5. Step 5: Solve for x
    x = 154,469,702,402.06/577,634.88
  6. Step 6: Final answer
    x = 267,417.55

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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.