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Finding the Fourth Proportional to 415,972.89, 574,042.61 and 224,986.23

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Solution

The fourth proportional to 415,972.89, 574,042.61 and 224,986.23 is: 310,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,972.89 : 574,042.61 = 224,986.23 : x
  2. Step 2: Convert to fraction form
    415,972.89/574,042.61 = 224,986.23/x
  3. Step 3: Cross multiply
    415,972.89x = 574,042.61 × 224,986.23
  4. Step 4: Simplify right side
    415,972.89x = 129,151,683,245.73
  5. Step 5: Solve for x
    x = 129,151,683,245.73/415,972.89
  6. Step 6: Final answer
    x = 310,481.01

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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.