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Finding the Fourth Proportional to 422,378.96, 633,570.53 and 106,836.17

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Solution

The fourth proportional to 422,378.96, 633,570.53 and 106,836.17 is: 160,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,378.96 : 633,570.53 = 106,836.17 : x
  2. Step 2: Convert to fraction form
    422,378.96/633,570.53 = 106,836.17/x
  3. Step 3: Cross multiply
    422,378.96x = 633,570.53 × 106,836.17
  4. Step 4: Simplify right side
    422,378.96x = 67,688,245,148.04
  5. Step 5: Solve for x
    x = 67,688,245,148.04/422,378.96
  6. Step 6: Final answer
    x = 160,254.78

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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.