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Finding the Fourth Proportional to 394,225.20, 591,208.20 and 144,874.80

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Solution

The fourth proportional to 394,225.20, 591,208.20 and 144,874.80 is: 217,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,225.20 : 591,208.20 = 144,874.80 : x
  2. Step 2: Convert to fraction form
    394,225.20/591,208.20 = 144,874.80/x
  3. Step 3: Cross multiply
    394,225.20x = 591,208.20 × 144,874.80
  4. Step 4: Simplify right side
    394,225.20x = 85,651,169,733.36
  5. Step 5: Solve for x
    x = 85,651,169,733.36/394,225.20
  6. Step 6: Final answer
    x = 217,264.57

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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.