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Finding the Fourth Proportional to 415,382.85, 573,255.36 and 231,642.18

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Solution

The fourth proportional to 415,382.85, 573,255.36 and 231,642.18 is: 319,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,382.85 : 573,255.36 = 231,642.18 : x
  2. Step 2: Convert to fraction form
    415,382.85/573,255.36 = 231,642.18/x
  3. Step 3: Cross multiply
    415,382.85x = 573,255.36 × 231,642.18
  4. Step 4: Simplify right side
    415,382.85x = 132,790,121,287.09
  5. Step 5: Solve for x
    x = 132,790,121,287.09/415,382.85
  6. Step 6: Final answer
    x = 319,681.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.