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Finding the Fourth Proportional to 580,034.43, 800,543.72 and 338,317

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Solution

The fourth proportional to 580,034.43, 800,543.72 and 338,317 is: 466,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,034.43 : 800,543.72 = 338,317 : x
  2. Step 2: Convert to fraction form
    580,034.43/800,543.72 = 338,317/x
  3. Step 3: Cross multiply
    580,034.43x = 800,543.72 × 338,317
  4. Step 4: Simplify right side
    580,034.43x = 270,837,549,719.24
  5. Step 5: Solve for x
    x = 270,837,549,719.24/580,034.43
  6. Step 6: Final answer
    x = 466,933.57

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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.