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Finding the Fourth Proportional to 580,064.90, 800,310.17 and 338,176.32

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Solution

The fourth proportional to 580,064.90, 800,310.17 and 338,176.32 is: 466,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,064.90 : 800,310.17 = 338,176.32 : x
  2. Step 2: Convert to fraction form
    580,064.90/800,310.17 = 338,176.32/x
  3. Step 3: Cross multiply
    580,064.90x = 800,310.17 × 338,176.32
  4. Step 4: Simplify right side
    580,064.90x = 270,645,945,993.45
  5. Step 5: Solve for x
    x = 270,645,945,993.45/580,064.90
  6. Step 6: Final answer
    x = 466,578.74

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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.