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Finding the Fourth Proportional to 354,964.20, 532,446.30 and 144,493.80

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Solution

The fourth proportional to 354,964.20, 532,446.30 and 144,493.80 is: 216,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,964.20 : 532,446.30 = 144,493.80 : x
  2. Step 2: Convert to fraction form
    354,964.20/532,446.30 = 144,493.80/x
  3. Step 3: Cross multiply
    354,964.20x = 532,446.30 × 144,493.80
  4. Step 4: Simplify right side
    354,964.20x = 76,935,189,182.94
  5. Step 5: Solve for x
    x = 76,935,189,182.94/354,964.20
  6. Step 6: Final answer
    x = 216,740.70

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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.