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Finding the Fourth Proportional to 454,902.72, 682,206.30 and 151,215.30

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Solution

The fourth proportional to 454,902.72, 682,206.30 and 151,215.30 is: 226,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,902.72 : 682,206.30 = 151,215.30 : x
  2. Step 2: Convert to fraction form
    454,902.72/682,206.30 = 151,215.30/x
  3. Step 3: Cross multiply
    454,902.72x = 682,206.30 × 151,215.30
  4. Step 4: Simplify right side
    454,902.72x = 103,160,030,316.39
  5. Step 5: Solve for x
    x = 103,160,030,316.39/454,902.72
  6. Step 6: Final answer
    x = 226,773.83

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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.