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Finding the Fourth Proportional to 360,882.28, 497,983.81 and 215,659.25

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Solution

The fourth proportional to 360,882.28, 497,983.81 and 215,659.25 is: 297,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,882.28 : 497,983.81 = 215,659.25 : x
  2. Step 2: Convert to fraction form
    360,882.28/497,983.81 = 215,659.25/x
  3. Step 3: Cross multiply
    360,882.28x = 497,983.81 × 215,659.25
  4. Step 4: Simplify right side
    360,882.28x = 107,394,814,976.74
  5. Step 5: Solve for x
    x = 107,394,814,976.74/360,882.28
  6. Step 6: Final answer
    x = 297,589.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.