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Finding the Fourth Proportional to 539,306.40, 809,251.20 and 239,833.20

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Solution

The fourth proportional to 539,306.40, 809,251.20 and 239,833.20 is: 359,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,306.40 : 809,251.20 = 239,833.20 : x
  2. Step 2: Convert to fraction form
    539,306.40/809,251.20 = 239,833.20/x
  3. Step 3: Cross multiply
    539,306.40x = 809,251.20 × 239,833.20
  4. Step 4: Simplify right side
    539,306.40x = 194,085,304,899.84
  5. Step 5: Solve for x
    x = 194,085,304,899.84/539,306.40
  6. Step 6: Final answer
    x = 359,879.48

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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.