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Finding the Fourth Proportional to 360,776.30, 541,076.96 and 150,299.42

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Solution

The fourth proportional to 360,776.30, 541,076.96 and 150,299.42 is: 225,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,776.30 : 541,076.96 = 150,299.42 : x
  2. Step 2: Convert to fraction form
    360,776.30/541,076.96 = 150,299.42/x
  3. Step 3: Cross multiply
    360,776.30x = 541,076.96 × 150,299.42
  4. Step 4: Simplify right side
    360,776.30x = 81,323,550,933.73
  5. Step 5: Solve for x
    x = 81,323,550,933.73/360,776.30
  6. Step 6: Final answer
    x = 225,412.68

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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.