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Finding the Fourth Proportional to 285,704.70, 428,265.45 and 167,315.10

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Solution

The fourth proportional to 285,704.70, 428,265.45 and 167,315.10 is: 250,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,704.70 : 428,265.45 = 167,315.10 : x
  2. Step 2: Convert to fraction form
    285,704.70/428,265.45 = 167,315.10/x
  3. Step 3: Cross multiply
    285,704.70x = 428,265.45 × 167,315.10
  4. Step 4: Simplify right side
    285,704.70x = 71,655,276,593.30
  5. Step 5: Solve for x
    x = 71,655,276,593.30/285,704.70
  6. Step 6: Final answer
    x = 250,801.88

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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.