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Finding the Fourth Proportional to 408,032.80, 611,757.60 and 183,209.20

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Solution

The fourth proportional to 408,032.80, 611,757.60 and 183,209.20 is: 274,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,032.80 : 611,757.60 = 183,209.20 : x
  2. Step 2: Convert to fraction form
    408,032.80/611,757.60 = 183,209.20/x
  3. Step 3: Cross multiply
    408,032.80x = 611,757.60 × 183,209.20
  4. Step 4: Simplify right side
    408,032.80x = 112,079,620,489.92
  5. Step 5: Solve for x
    x = 112,079,620,489.92/408,032.80
  6. Step 6: Final answer
    x = 274,682.87

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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.