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Finding the Fourth Proportional to 284,568.98, 392,745.25 and 181,170.15

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Solution

The fourth proportional to 284,568.98, 392,745.25 and 181,170.15 is: 250,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,568.98 : 392,745.25 = 181,170.15 : x
  2. Step 2: Convert to fraction form
    284,568.98/392,745.25 = 181,170.15/x
  3. Step 3: Cross multiply
    284,568.98x = 392,745.25 × 181,170.15
  4. Step 4: Simplify right side
    284,568.98x = 71,153,715,854.29
  5. Step 5: Solve for x
    x = 71,153,715,854.29/284,568.98
  6. Step 6: Final answer
    x = 250,040.31

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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.