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Finding the Fourth Proportional to 297,487.13, 446,230.69 and 75,871.13

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Solution

The fourth proportional to 297,487.13, 446,230.69 and 75,871.13 is: 113,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,487.13 : 446,230.69 = 75,871.13 : x
  2. Step 2: Convert to fraction form
    297,487.13/446,230.69 = 75,871.13/x
  3. Step 3: Cross multiply
    297,487.13x = 446,230.69 × 75,871.13
  4. Step 4: Simplify right side
    297,487.13x = 33,856,024,270.15
  5. Step 5: Solve for x
    x = 33,856,024,270.15/297,487.13
  6. Step 6: Final answer
    x = 113,806.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.