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Finding the Fourth Proportional to 580,033.43, 800,542.34 and 338,316

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Solution

The fourth proportional to 580,033.43, 800,542.34 and 338,316 is: 466,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,033.43 : 800,542.34 = 338,316 : x
  2. Step 2: Convert to fraction form
    580,033.43/800,542.34 = 338,316/x
  3. Step 3: Cross multiply
    580,033.43x = 800,542.34 × 338,316
  4. Step 4: Simplify right side
    580,033.43x = 270,836,282,299.44
  5. Step 5: Solve for x
    x = 270,836,282,299.44/580,033.43
  6. Step 6: Final answer
    x = 466,932.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.