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Finding the Fourth Proportional to 415,185.62, 572,998.47 and 254,147.09

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Solution

The fourth proportional to 415,185.62, 572,998.47 and 254,147.09 is: 350,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,185.62 : 572,998.47 = 254,147.09 : x
  2. Step 2: Convert to fraction form
    415,185.62/572,998.47 = 254,147.09/x
  3. Step 3: Cross multiply
    415,185.62x = 572,998.47 × 254,147.09
  4. Step 4: Simplify right side
    415,185.62x = 145,625,891,336.49
  5. Step 5: Solve for x
    x = 145,625,891,336.49/415,185.62
  6. Step 6: Final answer
    x = 350,748.88

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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.