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Finding the Fourth Proportional to 491,315.97, 735,792.95 and 280,314.21

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Solution

The fourth proportional to 491,315.97, 735,792.95 and 280,314.21 is: 419,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,315.97 : 735,792.95 = 280,314.21 : x
  2. Step 2: Convert to fraction form
    491,315.97/735,792.95 = 280,314.21/x
  3. Step 3: Cross multiply
    491,315.97x = 735,792.95 × 280,314.21
  4. Step 4: Simplify right side
    491,315.97x = 206,253,218,101.25
  5. Step 5: Solve for x
    x = 206,253,218,101.25/491,315.97
  6. Step 6: Final answer
    x = 419,797.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.