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Finding the Fourth Proportional to 465,232.40, 642,159.94 and 271,692.32

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Solution

The fourth proportional to 465,232.40, 642,159.94 and 271,692.32 is: 375,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,232.40 : 642,159.94 = 271,692.32 : x
  2. Step 2: Convert to fraction form
    465,232.40/642,159.94 = 271,692.32/x
  3. Step 3: Cross multiply
    465,232.40x = 642,159.94 × 271,692.32
  4. Step 4: Simplify right side
    465,232.40x = 174,469,923,909.66
  5. Step 5: Solve for x
    x = 174,469,923,909.66/465,232.40
  6. Step 6: Final answer
    x = 375,016.71

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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.