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Finding the Fourth Proportional to 398,268.38, 596,024.76 and 381,734.66

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Solution

The fourth proportional to 398,268.38, 596,024.76 and 381,734.66 is: 571,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,268.38 : 596,024.76 = 381,734.66 : x
  2. Step 2: Convert to fraction form
    398,268.38/596,024.76 = 381,734.66/x
  3. Step 3: Cross multiply
    398,268.38x = 596,024.76 × 381,734.66
  4. Step 4: Simplify right side
    398,268.38x = 227,523,309,110.18
  5. Step 5: Solve for x
    x = 227,523,309,110.18/398,268.38
  6. Step 6: Final answer
    x = 571,281.38

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Why These Related Problems?

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