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Finding the Fourth Proportional to 503,252.34, 694,507.43 and 288,433.97

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Solution

The fourth proportional to 503,252.34, 694,507.43 and 288,433.97 is: 398,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,252.34 : 694,507.43 = 288,433.97 : x
  2. Step 2: Convert to fraction form
    503,252.34/694,507.43 = 288,433.97/x
  3. Step 3: Cross multiply
    503,252.34x = 694,507.43 × 288,433.97
  4. Step 4: Simplify right side
    503,252.34x = 200,319,530,314.69
  5. Step 5: Solve for x
    x = 200,319,530,314.69/503,252.34
  6. Step 6: Final answer
    x = 398,049.87

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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.