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Finding the Fourth Proportional to 422,014.64, 633,019.21 and 106,471.85

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Solution

The fourth proportional to 422,014.64, 633,019.21 and 106,471.85 is: 159,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,014.64 : 633,019.21 = 106,471.85 : x
  2. Step 2: Convert to fraction form
    422,014.64/633,019.21 = 106,471.85/x
  3. Step 3: Cross multiply
    422,014.64x = 633,019.21 × 106,471.85
  4. Step 4: Simplify right side
    422,014.64x = 67,398,726,374.24
  5. Step 5: Solve for x
    x = 67,398,726,374.24/422,014.64
  6. Step 6: Final answer
    x = 159,707.08

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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.