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Finding the Fourth Proportional to 614,216.52, 921,327.14 and 187,750.70

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Solution

The fourth proportional to 614,216.52, 921,327.14 and 187,750.70 is: 281,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,216.52 : 921,327.14 = 187,750.70 : x
  2. Step 2: Convert to fraction form
    614,216.52/921,327.14 = 187,750.70/x
  3. Step 3: Cross multiply
    614,216.52x = 921,327.14 × 187,750.70
  4. Step 4: Simplify right side
    614,216.52x = 172,979,819,514.39
  5. Step 5: Solve for x
    x = 172,979,819,514.39/614,216.52
  6. Step 6: Final answer
    x = 281,626.78

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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.