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Finding the Fourth Proportional to 439,859.85, 659,658.15 and 229,382.97

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Solution

The fourth proportional to 439,859.85, 659,658.15 and 229,382.97 is: 344,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,859.85 : 659,658.15 = 229,382.97 : x
  2. Step 2: Convert to fraction form
    439,859.85/659,658.15 = 229,382.97/x
  3. Step 3: Cross multiply
    439,859.85x = 659,658.15 × 229,382.97
  4. Step 4: Simplify right side
    439,859.85x = 151,314,345,631.71
  5. Step 5: Solve for x
    x = 151,314,345,631.71/439,859.85
  6. Step 6: Final answer
    x = 344,005.81

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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.