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Finding the Fourth Proportional to 392,832.89, 542,091.90 and 229,504.53

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Solution

The fourth proportional to 392,832.89, 542,091.90 and 229,504.53 is: 316,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,832.89 : 542,091.90 = 229,504.53 : x
  2. Step 2: Convert to fraction form
    392,832.89/542,091.90 = 229,504.53/x
  3. Step 3: Cross multiply
    392,832.89x = 542,091.90 × 229,504.53
  4. Step 4: Simplify right side
    392,832.89x = 124,412,546,726.31
  5. Step 5: Solve for x
    x = 124,412,546,726.31/392,832.89
  6. Step 6: Final answer
    x = 316,706.03

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Why These Related Problems?

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