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Finding the Fourth Proportional to 422,454.46, 633,632.38 and 169,724.74

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Solution

The fourth proportional to 422,454.46, 633,632.38 and 169,724.74 is: 254,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,454.46 : 633,632.38 = 169,724.74 : x
  2. Step 2: Convert to fraction form
    422,454.46/633,632.38 = 169,724.74/x
  3. Step 3: Cross multiply
    422,454.46x = 633,632.38 × 169,724.74
  4. Step 4: Simplify right side
    422,454.46x = 107,543,090,951.08
  5. Step 5: Solve for x
    x = 107,543,090,951.08/422,454.46
  6. Step 6: Final answer
    x = 254,567.30

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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.