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Finding the Fourth Proportional to 360,648.27, 541,021.64 and 150,237

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Solution

The fourth proportional to 360,648.27, 541,021.64 and 150,237 is: 225,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,648.27 : 541,021.64 = 150,237 : x
  2. Step 2: Convert to fraction form
    360,648.27/541,021.64 = 150,237/x
  3. Step 3: Cross multiply
    360,648.27x = 541,021.64 × 150,237
  4. Step 4: Simplify right side
    360,648.27x = 81,281,467,377.50
  5. Step 5: Solve for x
    x = 81,281,467,377.50/360,648.27
  6. Step 6: Final answer
    x = 225,376.01

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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.