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Finding the Fourth Proportional to 580,156.96, 800,667.28 and 338,517.38

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Solution

The fourth proportional to 580,156.96, 800,667.28 and 338,517.38 is: 467,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,156.96 : 800,667.28 = 338,517.38 : x
  2. Step 2: Convert to fraction form
    580,156.96/800,667.28 = 338,517.38/x
  3. Step 3: Cross multiply
    580,156.96x = 800,667.28 × 338,517.38
  4. Step 4: Simplify right side
    580,156.96x = 271,039,789,877.33
  5. Step 5: Solve for x
    x = 271,039,789,877.33/580,156.96
  6. Step 6: Final answer
    x = 467,183.55

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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.