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Finding the Fourth Proportional to 432,884.40, 596,993.67 and 271,754.43

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Solution

The fourth proportional to 432,884.40, 596,993.67 and 271,754.43 is: 374,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,884.40 : 596,993.67 = 271,754.43 : x
  2. Step 2: Convert to fraction form
    432,884.40/596,993.67 = 271,754.43/x
  3. Step 3: Cross multiply
    432,884.40x = 596,993.67 × 271,754.43
  4. Step 4: Simplify right side
    432,884.40x = 162,235,674,504.46
  5. Step 5: Solve for x
    x = 162,235,674,504.46/432,884.40
  6. Step 6: Final answer
    x = 374,778.29

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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.