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Finding the Fourth Proportional to 532,871.20, 799,233.84 and 177,877.12

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Solution

The fourth proportional to 532,871.20, 799,233.84 and 177,877.12 is: 266,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,871.20 : 799,233.84 = 177,877.12 : x
  2. Step 2: Convert to fraction form
    532,871.20/799,233.84 = 177,877.12/x
  3. Step 3: Cross multiply
    532,871.20x = 799,233.84 × 177,877.12
  4. Step 4: Simplify right side
    532,871.20x = 142,165,413,665.74
  5. Step 5: Solve for x
    x = 142,165,413,665.74/532,871.20
  6. Step 6: Final answer
    x = 266,791.33

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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.