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Finding the Fourth Proportional to 265,012.60, 397,521.27 and 75,472.80

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Solution

The fourth proportional to 265,012.60, 397,521.27 and 75,472.80 is: 113,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,012.60 : 397,521.27 = 75,472.80 : x
  2. Step 2: Convert to fraction form
    265,012.60/397,521.27 = 75,472.80/x
  3. Step 3: Cross multiply
    265,012.60x = 397,521.27 × 75,472.80
  4. Step 4: Simplify right side
    265,012.60x = 30,002,043,306.46
  5. Step 5: Solve for x
    x = 30,002,043,306.46/265,012.60
  6. Step 6: Final answer
    x = 113,209.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.