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Finding the Fourth Proportional to 758,404, 1,137,793.11 and 225,922.96

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Solution

The fourth proportional to 758,404, 1,137,793.11 and 225,922.96 is: 338,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,404 : 1,137,793.11 = 225,922.96 : x
  2. Step 2: Convert to fraction form
    758,404/1,137,793.11 = 225,922.96/x
  3. Step 3: Cross multiply
    758,404x = 1,137,793.11 × 225,922.96
  4. Step 4: Simplify right side
    758,404x = 257,053,587,278.81
  5. Step 5: Solve for x
    x = 257,053,587,278.81/758,404
  6. Step 6: Final answer
    x = 338,940.18

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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.