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Finding the Fourth Proportional to 503,335.91, 694,633.46 and 288,489.86

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Solution

The fourth proportional to 503,335.91, 694,633.46 and 288,489.86 is: 398,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,335.91 : 694,633.46 = 288,489.86 : x
  2. Step 2: Convert to fraction form
    503,335.91/694,633.46 = 288,489.86/x
  3. Step 3: Cross multiply
    503,335.91x = 694,633.46 × 288,489.86
  4. Step 4: Simplify right side
    503,335.91x = 200,394,709,626.72
  5. Step 5: Solve for x
    x = 200,394,709,626.72/503,335.91
  6. Step 6: Final answer
    x = 398,133.15

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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.