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Finding the Fourth Proportional to 511,167.38, 705,382.17 and 281,723.94

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Solution

The fourth proportional to 511,167.38, 705,382.17 and 281,723.94 is: 388,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,167.38 : 705,382.17 = 281,723.94 : x
  2. Step 2: Convert to fraction form
    511,167.38/705,382.17 = 281,723.94/x
  3. Step 3: Cross multiply
    511,167.38x = 705,382.17 × 281,723.94
  4. Step 4: Simplify right side
    511,167.38x = 198,723,044,138.15
  5. Step 5: Solve for x
    x = 198,723,044,138.15/511,167.38
  6. Step 6: Final answer
    x = 388,763.16

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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.