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Finding the Fourth Proportional to 422,491.29, 633,737.40 and 106,948.20

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Solution

The fourth proportional to 422,491.29, 633,737.40 and 106,948.20 is: 160,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,491.29 : 633,737.40 = 106,948.20 : x
  2. Step 2: Convert to fraction form
    422,491.29/633,737.40 = 106,948.20/x
  3. Step 3: Cross multiply
    422,491.29x = 633,737.40 × 106,948.20
  4. Step 4: Simplify right side
    422,491.29x = 67,777,074,202.68
  5. Step 5: Solve for x
    x = 67,777,074,202.68/422,491.29
  6. Step 6: Final answer
    x = 160,422.42

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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.