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Finding the Fourth Proportional to 354,704.60, 532,251.30 and 144,493.40

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Solution

The fourth proportional to 354,704.60, 532,251.30 and 144,493.40 is: 216,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,704.60 : 532,251.30 = 144,493.40 : x
  2. Step 2: Convert to fraction form
    354,704.60/532,251.30 = 144,493.40/x
  3. Step 3: Cross multiply
    354,704.60x = 532,251.30 × 144,493.40
  4. Step 4: Simplify right side
    354,704.60x = 76,906,799,991.42
  5. Step 5: Solve for x
    x = 76,906,799,991.42/354,704.60
  6. Step 6: Final answer
    x = 216,819.29

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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.