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Finding the Fourth Proportional to 360,882.23, 497,983.73 and 215,659.19

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Solution

The fourth proportional to 360,882.23, 497,983.73 and 215,659.19 is: 297,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,882.23 : 497,983.73 = 215,659.19 : x
  2. Step 2: Convert to fraction form
    360,882.23/497,983.73 = 215,659.19/x
  3. Step 3: Cross multiply
    360,882.23x = 497,983.73 × 215,659.19
  4. Step 4: Simplify right side
    360,882.23x = 107,394,766,423.57
  5. Step 5: Solve for x
    x = 107,394,766,423.57/360,882.23
  6. Step 6: Final answer
    x = 297,589.52

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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.