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Finding the Fourth Proportional to 392,499.65, 541,659.47 and 220,431.35

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Solution

The fourth proportional to 392,499.65, 541,659.47 and 220,431.35 is: 304,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,499.65 : 541,659.47 = 220,431.35 : x
  2. Step 2: Convert to fraction form
    392,499.65/541,659.47 = 220,431.35/x
  3. Step 3: Cross multiply
    392,499.65x = 541,659.47 × 220,431.35
  4. Step 4: Simplify right side
    392,499.65x = 119,398,727,110.23
  5. Step 5: Solve for x
    x = 119,398,727,110.23/392,499.65
  6. Step 6: Final answer
    x = 304,200.85

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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.