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Finding the Fourth Proportional to 392,525.32, 541,683.38 and 220,419.34

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Solution

The fourth proportional to 392,525.32, 541,683.38 and 220,419.34 is: 304,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,525.32 : 541,683.38 = 220,419.34 : x
  2. Step 2: Convert to fraction form
    392,525.32/541,683.38 = 220,419.34/x
  3. Step 3: Cross multiply
    392,525.32x = 541,683.38 × 220,419.34
  4. Step 4: Simplify right side
    392,525.32x = 119,397,493,108.57
  5. Step 5: Solve for x
    x = 119,397,493,108.57/392,525.32
  6. Step 6: Final answer
    x = 304,177.81

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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.