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Finding the Fourth Proportional to 386,676.10, 580,225.56 and 150,028.12

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Solution

The fourth proportional to 386,676.10, 580,225.56 and 150,028.12 is: 225,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,676.10 : 580,225.56 = 150,028.12 : x
  2. Step 2: Convert to fraction form
    386,676.10/580,225.56 = 150,028.12/x
  3. Step 3: Cross multiply
    386,676.10x = 580,225.56 × 150,028.12
  4. Step 4: Simplify right side
    386,676.10x = 87,050,149,942.75
  5. Step 5: Solve for x
    x = 87,050,149,942.75/386,676.10
  6. Step 6: Final answer
    x = 225,124.21

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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.