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Finding the Fourth Proportional to 715,708.69, 987,680.05 and 409,789.78

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Solution

The fourth proportional to 715,708.69, 987,680.05 and 409,789.78 is: 565,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,708.69 : 987,680.05 = 409,789.78 : x
  2. Step 2: Convert to fraction form
    715,708.69/987,680.05 = 409,789.78/x
  3. Step 3: Cross multiply
    715,708.69x = 987,680.05 × 409,789.78
  4. Step 4: Simplify right side
    715,708.69x = 404,741,186,906.22
  5. Step 5: Solve for x
    x = 404,741,186,906.22/715,708.69
  6. Step 6: Final answer
    x = 565,511.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.