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Finding the Fourth Proportional to 432,233.20, 647,523.60 and 232,487.20

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Solution

The fourth proportional to 432,233.20, 647,523.60 and 232,487.20 is: 348,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,233.20 : 647,523.60 = 232,487.20 : x
  2. Step 2: Convert to fraction form
    432,233.20/647,523.60 = 232,487.20/x
  3. Step 3: Cross multiply
    432,233.20x = 647,523.60 × 232,487.20
  4. Step 4: Simplify right side
    432,233.20x = 150,540,948,697.92
  5. Step 5: Solve for x
    x = 150,540,948,697.92/432,233.20
  6. Step 6: Final answer
    x = 348,286.41

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1.5x scale

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.