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Finding the Fourth Proportional to 387,469.05, 580,965.84 and 150,535.14

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Solution

The fourth proportional to 387,469.05, 580,965.84 and 150,535.14 is: 225,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,469.05 : 580,965.84 = 150,535.14 : x
  2. Step 2: Convert to fraction form
    387,469.05/580,965.84 = 150,535.14/x
  3. Step 3: Cross multiply
    387,469.05x = 580,965.84 × 150,535.14
  4. Step 4: Simplify right side
    387,469.05x = 87,455,774,059.62
  5. Step 5: Solve for x
    x = 87,455,774,059.62/387,469.05
  6. Step 6: Final answer
    x = 225,710.35

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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.