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Finding the Fourth Proportional to 490,545.96, 736,052.20 and 224,286

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Solution

The fourth proportional to 490,545.96, 736,052.20 and 224,286 is: 336,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,545.96 : 736,052.20 = 224,286 : x
  2. Step 2: Convert to fraction form
    490,545.96/736,052.20 = 224,286/x
  3. Step 3: Cross multiply
    490,545.96x = 736,052.20 × 224,286
  4. Step 4: Simplify right side
    490,545.96x = 165,086,203,729.20
  5. Step 5: Solve for x
    x = 165,086,203,729.20/490,545.96
  6. Step 6: Final answer
    x = 336,535.65

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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.