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Finding the Fourth Proportional to 381,580.84, 572,371.26 and 132,262.84

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Solution

The fourth proportional to 381,580.84, 572,371.26 and 132,262.84 is: 198,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,580.84 : 572,371.26 = 132,262.84 : x
  2. Step 2: Convert to fraction form
    381,580.84/572,371.26 = 132,262.84/x
  3. Step 3: Cross multiply
    381,580.84x = 572,371.26 × 132,262.84
  4. Step 4: Simplify right side
    381,580.84x = 75,703,448,381.98
  5. Step 5: Solve for x
    x = 75,703,448,381.98/381,580.84
  6. Step 6: Final answer
    x = 198,394.26

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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.