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Finding the Fourth Proportional to 408,862.80, 613,294.20 and 184,476.60

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Solution

The fourth proportional to 408,862.80, 613,294.20 and 184,476.60 is: 276,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,862.80 : 613,294.20 = 184,476.60 : x
  2. Step 2: Convert to fraction form
    408,862.80/613,294.20 = 184,476.60/x
  3. Step 3: Cross multiply
    408,862.80x = 613,294.20 × 184,476.60
  4. Step 4: Simplify right side
    408,862.80x = 113,138,428,815.72
  5. Step 5: Solve for x
    x = 113,138,428,815.72/408,862.80
  6. Step 6: Final answer
    x = 276,714.90

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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.