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Finding the Fourth Proportional to 253,002.29, 379,565.71 and 178,268.39

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Solution

The fourth proportional to 253,002.29, 379,565.71 and 178,268.39 is: 267,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,002.29 : 379,565.71 = 178,268.39 : x
  2. Step 2: Convert to fraction form
    253,002.29/379,565.71 = 178,268.39/x
  3. Step 3: Cross multiply
    253,002.29x = 379,565.71 × 178,268.39
  4. Step 4: Simplify right side
    253,002.29x = 67,664,568,020.91
  5. Step 5: Solve for x
    x = 67,664,568,020.91/253,002.29
  6. Step 6: Final answer
    x = 267,446.47

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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.