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Finding the Fourth Proportional to 397,866.59, 596,806.20 and 221,494.61

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Solution

The fourth proportional to 397,866.59, 596,806.20 and 221,494.61 is: 332,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,866.59 : 596,806.20 = 221,494.61 : x
  2. Step 2: Convert to fraction form
    397,866.59/596,806.20 = 221,494.61/x
  3. Step 3: Cross multiply
    397,866.59x = 596,806.20 × 221,494.61
  4. Step 4: Simplify right side
    397,866.59x = 132,189,356,514.58
  5. Step 5: Solve for x
    x = 132,189,356,514.58/397,866.59
  6. Step 6: Final answer
    x = 332,245.43

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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.