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Finding the Fourth Proportional to 432,340.80, 596,640.24 and 271,202.64

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Solution

The fourth proportional to 432,340.80, 596,640.24 and 271,202.64 is: 374,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,340.80 : 596,640.24 = 271,202.64 : x
  2. Step 2: Convert to fraction form
    432,340.80/596,640.24 = 271,202.64/x
  3. Step 3: Cross multiply
    432,340.80x = 596,640.24 × 271,202.64
  4. Step 4: Simplify right side
    432,340.80x = 161,810,408,218.23
  5. Step 5: Solve for x
    x = 161,810,408,218.23/432,340.80
  6. Step 6: Final answer
    x = 374,265.88

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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.