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Finding the Fourth Proportional to 298,614.70, 447,922.05 and 132,402.70

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Solution

The fourth proportional to 298,614.70, 447,922.05 and 132,402.70 is: 198,604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,614.70 : 447,922.05 = 132,402.70 : x
  2. Step 2: Convert to fraction form
    298,614.70/447,922.05 = 132,402.70/x
  3. Step 3: Cross multiply
    298,614.70x = 447,922.05 × 132,402.70
  4. Step 4: Simplify right side
    298,614.70x = 59,306,088,809.54
  5. Step 5: Solve for x
    x = 59,306,088,809.54/298,614.70
  6. Step 6: Final answer
    x = 198,604.05

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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.