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Finding the Fourth Proportional to 577,448, 866,251.92 and 178,120.16

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Solution

The fourth proportional to 577,448, 866,251.92 and 178,120.16 is: 267,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,448 : 866,251.92 = 178,120.16 : x
  2. Step 2: Convert to fraction form
    577,448/866,251.92 = 178,120.16/x
  3. Step 3: Cross multiply
    577,448x = 866,251.92 × 178,120.16
  4. Step 4: Simplify right side
    577,448x = 154,296,930,590.71
  5. Step 5: Solve for x
    x = 154,296,930,590.71/577,448
  6. Step 6: Final answer
    x = 267,204.89

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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.