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Finding the Fourth Proportional to 574,264, 861,403.29 and 200,287

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Solution

The fourth proportional to 574,264, 861,403.29 and 200,287 is: 300,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,264 : 861,403.29 = 200,287 : x
  2. Step 2: Convert to fraction form
    574,264/861,403.29 = 200,287/x
  3. Step 3: Cross multiply
    574,264x = 861,403.29 × 200,287
  4. Step 4: Simplify right side
    574,264x = 172,527,880,744.23
  5. Step 5: Solve for x
    x = 172,527,880,744.23/574,264
  6. Step 6: Final answer
    x = 300,433.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.