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Finding the Fourth Proportional to 454,969.80, 682,454.70 and 313,252.20

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Solution

The fourth proportional to 454,969.80, 682,454.70 and 313,252.20 is: 469,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,969.80 : 682,454.70 = 313,252.20 : x
  2. Step 2: Convert to fraction form
    454,969.80/682,454.70 = 313,252.20/x
  3. Step 3: Cross multiply
    454,969.80x = 682,454.70 × 313,252.20
  4. Step 4: Simplify right side
    454,969.80x = 213,780,436,175.34
  5. Step 5: Solve for x
    x = 213,780,436,175.34/454,969.80
  6. Step 6: Final answer
    x = 469,878.30

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Similar ratio
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1.5x scale

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.