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Finding the Fourth Proportional to 416,881.52, 625,011.24 and 195,213.68

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Solution

The fourth proportional to 416,881.52, 625,011.24 and 195,213.68 is: 292,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,881.52 : 625,011.24 = 195,213.68 : x
  2. Step 2: Convert to fraction form
    416,881.52/625,011.24 = 195,213.68/x
  3. Step 3: Cross multiply
    416,881.52x = 625,011.24 × 195,213.68
  4. Step 4: Simplify right side
    416,881.52x = 122,010,744,201.76
  5. Step 5: Solve for x
    x = 122,010,744,201.76/416,881.52
  6. Step 6: Final answer
    x = 292,674.87

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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.