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Finding the Fourth Proportional to 516,447.14, 772,292.52 and 491,252.90

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Solution

The fourth proportional to 516,447.14, 772,292.52 and 491,252.90 is: 734,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,447.14 : 772,292.52 = 491,252.90 : x
  2. Step 2: Convert to fraction form
    516,447.14/772,292.52 = 491,252.90/x
  3. Step 3: Cross multiply
    516,447.14x = 772,292.52 × 491,252.90
  4. Step 4: Simplify right side
    516,447.14x = 379,390,936,236.85
  5. Step 5: Solve for x
    x = 379,390,936,236.85/516,447.14
  6. Step 6: Final answer
    x = 734,617.18

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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.