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Finding the Fourth Proportional to 585,954, 878,930.19 and 384,819.86

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Solution

The fourth proportional to 585,954, 878,930.19 and 384,819.86 is: 577,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,954 : 878,930.19 = 384,819.86 : x
  2. Step 2: Convert to fraction form
    585,954/878,930.19 = 384,819.86/x
  3. Step 3: Cross multiply
    585,954x = 878,930.19 × 384,819.86
  4. Step 4: Simplify right side
    585,954x = 338,229,794,862.90
  5. Step 5: Solve for x
    x = 338,229,794,862.90/585,954
  6. Step 6: Final answer
    x = 577,229.26

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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.