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Finding the Fourth Proportional to 580,032.38, 800,540.96 and 338,314.96

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Solution

The fourth proportional to 580,032.38, 800,540.96 and 338,314.96 is: 466,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,032.38 : 800,540.96 = 338,314.96 : x
  2. Step 2: Convert to fraction form
    580,032.38/800,540.96 = 338,314.96/x
  3. Step 3: Cross multiply
    580,032.38x = 800,540.96 × 338,314.96
  4. Step 4: Simplify right side
    580,032.38x = 270,834,982,860.76
  5. Step 5: Solve for x
    x = 270,834,982,860.76/580,032.38
  6. Step 6: Final answer
    x = 466,930.80

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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.