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Finding the Fourth Proportional to 437,223.20, 655,873.12 and 133,685.84

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Solution

The fourth proportional to 437,223.20, 655,873.12 and 133,685.84 is: 200,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,223.20 : 655,873.12 = 133,685.84 : x
  2. Step 2: Convert to fraction form
    437,223.20/655,873.12 = 133,685.84/x
  3. Step 3: Cross multiply
    437,223.20x = 655,873.12 × 133,685.84
  4. Step 4: Simplify right side
    437,223.20x = 87,680,948,980.62
  5. Step 5: Solve for x
    x = 87,680,948,980.62/437,223.20
  6. Step 6: Final answer
    x = 200,540.48

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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.