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Finding the Fourth Proportional to 422,382.19, 633,575.42 and 106,839.40

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Solution

The fourth proportional to 422,382.19, 633,575.42 and 106,839.40 is: 160,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,382.19 : 633,575.42 = 106,839.40 : x
  2. Step 2: Convert to fraction form
    422,382.19/633,575.42 = 106,839.40/x
  3. Step 3: Cross multiply
    422,382.19x = 633,575.42 × 106,839.40
  4. Step 4: Simplify right side
    422,382.19x = 67,690,816,410.71
  5. Step 5: Solve for x
    x = 67,690,816,410.71/422,382.19
  6. Step 6: Final answer
    x = 160,259.64

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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.