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Finding the Fourth Proportional to 289,073.31, 433,360.77 and 111,704.78

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Solution

The fourth proportional to 289,073.31, 433,360.77 and 111,704.78 is: 167,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,073.31 : 433,360.77 = 111,704.78 : x
  2. Step 2: Convert to fraction form
    289,073.31/433,360.77 = 111,704.78/x
  3. Step 3: Cross multiply
    289,073.31x = 433,360.77 × 111,704.78
  4. Step 4: Simplify right side
    289,073.31x = 48,408,467,306.68
  5. Step 5: Solve for x
    x = 48,408,467,306.68/289,073.31
  6. Step 6: Final answer
    x = 167,460.87

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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.