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Finding the Fourth Proportional to 454,974.60, 682,461.90 and 420,760.20

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Solution

The fourth proportional to 454,974.60, 682,461.90 and 420,760.20 is: 631,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,974.60 : 682,461.90 = 420,760.20 : x
  2. Step 2: Convert to fraction form
    454,974.60/682,461.90 = 420,760.20/x
  3. Step 3: Cross multiply
    454,974.60x = 682,461.90 × 420,760.20
  4. Step 4: Simplify right side
    454,974.60x = 287,152,805,536.38
  5. Step 5: Solve for x
    x = 287,152,805,536.38/454,974.60
  6. Step 6: Final answer
    x = 631,140.30

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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.