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Finding the Fourth Proportional to 717,766.45, 990,540.14 and 411,898.78

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Solution

The fourth proportional to 717,766.45, 990,540.14 and 411,898.78 is: 568,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,766.45 : 990,540.14 = 411,898.78 : x
  2. Step 2: Convert to fraction form
    717,766.45/990,540.14 = 411,898.78/x
  3. Step 3: Cross multiply
    717,766.45x = 990,540.14 × 411,898.78
  4. Step 4: Simplify right side
    717,766.45x = 408,002,274,385.71
  5. Step 5: Solve for x
    x = 408,002,274,385.71/717,766.45
  6. Step 6: Final answer
    x = 568,433.19

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Why These Related Problems?

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