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Finding the Fourth Proportional to 311,909.36, 430,434.96 and 168,669.44

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Solution

The fourth proportional to 311,909.36, 430,434.96 and 168,669.44 is: 232,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,909.36 : 430,434.96 = 168,669.44 : x
  2. Step 2: Convert to fraction form
    311,909.36/430,434.96 = 168,669.44/x
  3. Step 3: Cross multiply
    311,909.36x = 430,434.96 × 168,669.44
  4. Step 4: Simplify right side
    311,909.36x = 72,601,223,659.62
  5. Step 5: Solve for x
    x = 72,601,223,659.62/311,909.36
  6. Step 6: Final answer
    x = 232,763.85

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