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Finding the Fourth Proportional to 296,009.28, 408,530.22 and 194,120.46

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Solution

The fourth proportional to 296,009.28, 408,530.22 and 194,120.46 is: 267,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,009.28 : 408,530.22 = 194,120.46 : x
  2. Step 2: Convert to fraction form
    296,009.28/408,530.22 = 194,120.46/x
  3. Step 3: Cross multiply
    296,009.28x = 408,530.22 × 194,120.46
  4. Step 4: Simplify right side
    296,009.28x = 79,304,074,230.30
  5. Step 5: Solve for x
    x = 79,304,074,230.30/296,009.28
  6. Step 6: Final answer
    x = 267,910.77

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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.