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Finding the Fourth Proportional to 386,677.85, 580,228.19 and 150,029.87

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Solution

The fourth proportional to 386,677.85, 580,228.19 and 150,029.87 is: 225,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,677.85 : 580,228.19 = 150,029.87 : x
  2. Step 2: Convert to fraction form
    386,677.85/580,228.19 = 150,029.87/x
  3. Step 3: Cross multiply
    386,677.85x = 580,228.19 × 150,029.87
  4. Step 4: Simplify right side
    386,677.85x = 87,051,559,916.04
  5. Step 5: Solve for x
    x = 87,051,559,916.04/386,677.85
  6. Step 6: Final answer
    x = 225,126.83

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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.