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Finding the Fourth Proportional to 580,738.23, 801,278.55 and 338,882.76

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Solution

The fourth proportional to 580,738.23, 801,278.55 and 338,882.76 is: 467,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,738.23 : 801,278.55 = 338,882.76 : x
  2. Step 2: Convert to fraction form
    580,738.23/801,278.55 = 338,882.76/x
  3. Step 3: Cross multiply
    580,738.23x = 801,278.55 × 338,882.76
  4. Step 4: Simplify right side
    580,738.23x = 271,539,486,552.80
  5. Step 5: Solve for x
    x = 271,539,486,552.80/580,738.23
  6. Step 6: Final answer
    x = 467,576.39

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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.