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Finding the Fourth Proportional to 392,189.65, 541,211.20 and 222,420.13

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Solution

The fourth proportional to 392,189.65, 541,211.20 and 222,420.13 is: 306,933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,189.65 : 541,211.20 = 222,420.13 : x
  2. Step 2: Convert to fraction form
    392,189.65/541,211.20 = 222,420.13/x
  3. Step 3: Cross multiply
    392,189.65x = 541,211.20 × 222,420.13
  4. Step 4: Simplify right side
    392,189.65x = 120,376,265,461.46
  5. Step 5: Solve for x
    x = 120,376,265,461.46/392,189.65
  6. Step 6: Final answer
    x = 306,933.81

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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.