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Finding the Fourth Proportional to 387,053.53, 580,616.94 and 150,414.46

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Solution

The fourth proportional to 387,053.53, 580,616.94 and 150,414.46 is: 225,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,053.53 : 580,616.94 = 150,414.46 : x
  2. Step 2: Convert to fraction form
    387,053.53/580,616.94 = 150,414.46/x
  3. Step 3: Cross multiply
    387,053.53x = 580,616.94 × 150,414.46
  4. Step 4: Simplify right side
    387,053.53x = 87,333,183,496.95
  5. Step 5: Solve for x
    x = 87,333,183,496.95/387,053.53
  6. Step 6: Final answer
    x = 225,635.93

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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.