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Finding the Fourth Proportional to 408,446.80, 612,151.80 and 363,864.40

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Solution

The fourth proportional to 408,446.80, 612,151.80 and 363,864.40 is: 545,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,446.80 : 612,151.80 = 363,864.40 : x
  2. Step 2: Convert to fraction form
    408,446.80/612,151.80 = 363,864.40/x
  3. Step 3: Cross multiply
    408,446.80x = 612,151.80 × 363,864.40
  4. Step 4: Simplify right side
    408,446.80x = 222,740,247,415.92
  5. Step 5: Solve for x
    x = 222,740,247,415.92/408,446.80
  6. Step 6: Final answer
    x = 545,334.78

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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.