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Finding the Fourth Proportional to 541,395.82, 813,565.87 and 288,854.73

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Solution

The fourth proportional to 541,395.82, 813,565.87 and 288,854.73 is: 434,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,395.82 : 813,565.87 = 288,854.73 : x
  2. Step 2: Convert to fraction form
    541,395.82/813,565.87 = 288,854.73/x
  3. Step 3: Cross multiply
    541,395.82x = 813,565.87 × 288,854.73
  4. Step 4: Simplify right side
    541,395.82x = 235,002,349,716.07
  5. Step 5: Solve for x
    x = 235,002,349,716.07/541,395.82
  6. Step 6: Final answer
    x = 434,067.54

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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.