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Finding the Fourth Proportional to 305,890.38, 422,114.94 and 169,933.74

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Solution

The fourth proportional to 305,890.38, 422,114.94 and 169,933.74 is: 234,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,890.38 : 422,114.94 = 169,933.74 : x
  2. Step 2: Convert to fraction form
    305,890.38/422,114.94 = 169,933.74/x
  3. Step 3: Cross multiply
    305,890.38x = 422,114.94 × 169,933.74
  4. Step 4: Simplify right side
    305,890.38x = 71,731,570,464.08
  5. Step 5: Solve for x
    x = 71,731,570,464.08/305,890.38
  6. Step 6: Final answer
    x = 234,500.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.