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Finding the Fourth Proportional to 577,345.32, 866,098.17 and 178,017.48

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Solution

The fourth proportional to 577,345.32, 866,098.17 and 178,017.48 is: 267,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,345.32 : 866,098.17 = 178,017.48 : x
  2. Step 2: Convert to fraction form
    577,345.32/866,098.17 = 178,017.48/x
  3. Step 3: Cross multiply
    577,345.32x = 866,098.17 × 178,017.48
  4. Step 4: Simplify right side
    577,345.32x = 154,180,613,656.01
  5. Step 5: Solve for x
    x = 154,180,613,656.01/577,345.32
  6. Step 6: Final answer
    x = 267,050.95

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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.