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Finding the Fourth Proportional to 577,691.32, 866,456.82 and 178,345.24

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Solution

The fourth proportional to 577,691.32, 866,456.82 and 178,345.24 is: 267,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,691.32 : 866,456.82 = 178,345.24 : x
  2. Step 2: Convert to fraction form
    577,691.32/866,456.82 = 178,345.24/x
  3. Step 3: Cross multiply
    577,691.32x = 866,456.82 × 178,345.24
  4. Step 4: Simplify right side
    577,691.32x = 154,528,449,512.54
  5. Step 5: Solve for x
    x = 154,528,449,512.54/577,691.32
  6. Step 6: Final answer
    x = 267,493.11

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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.