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Finding the Fourth Proportional to 548,135.80, 821,037.30 and 454,823.80

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Solution

The fourth proportional to 548,135.80, 821,037.30 and 454,823.80 is: 681,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,135.80 : 821,037.30 = 454,823.80 : x
  2. Step 2: Convert to fraction form
    548,135.80/821,037.30 = 454,823.80/x
  3. Step 3: Cross multiply
    548,135.80x = 821,037.30 × 454,823.80
  4. Step 4: Simplify right side
    548,135.80x = 373,427,304,727.74
  5. Step 5: Solve for x
    x = 373,427,304,727.74/548,135.80
  6. Step 6: Final answer
    x = 681,267.86

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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.