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Finding the Fourth Proportional to 408,654.78, 612,976.05 and 183,856.47

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Solution

The fourth proportional to 408,654.78, 612,976.05 and 183,856.47 is: 275,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,654.78 : 612,976.05 = 183,856.47 : x
  2. Step 2: Convert to fraction form
    408,654.78/612,976.05 = 183,856.47/x
  3. Step 3: Cross multiply
    408,654.78x = 612,976.05 × 183,856.47
  4. Step 4: Simplify right side
    408,654.78x = 112,699,612,747.54
  5. Step 5: Solve for x
    x = 112,699,612,747.54/408,654.78
  6. Step 6: Final answer
    x = 275,781.95

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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.