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Finding the Fourth Proportional to 285,939.47, 428,912.28 and 86,261.59

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Solution

The fourth proportional to 285,939.47, 428,912.28 and 86,261.59 is: 129,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,939.47 : 428,912.28 = 86,261.59 : x
  2. Step 2: Convert to fraction form
    285,939.47/428,912.28 = 86,261.59/x
  3. Step 3: Cross multiply
    285,939.47x = 428,912.28 × 86,261.59
  4. Step 4: Simplify right side
    285,939.47x = 36,998,655,243.33
  5. Step 5: Solve for x
    x = 36,998,655,243.33/285,939.47
  6. Step 6: Final answer
    x = 129,393.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.