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Finding the Fourth Proportional to 415,429.09, 573,294.65 and 231,679.27

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Solution

The fourth proportional to 415,429.09, 573,294.65 and 231,679.27 is: 319,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,429.09 : 573,294.65 = 231,679.27 : x
  2. Step 2: Convert to fraction form
    415,429.09/573,294.65 = 231,679.27/x
  3. Step 3: Cross multiply
    415,429.09x = 573,294.65 × 231,679.27
  4. Step 4: Simplify right side
    415,429.09x = 132,820,486,006.91
  5. Step 5: Solve for x
    x = 132,820,486,006.91/415,429.09
  6. Step 6: Final answer
    x = 319,718.79

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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.