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Finding the Fourth Proportional to 287,344.94, 396,346.10 and 179,728.20

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Solution

The fourth proportional to 287,344.94, 396,346.10 and 179,728.20 is: 247,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,344.94 : 396,346.10 = 179,728.20 : x
  2. Step 2: Convert to fraction form
    287,344.94/396,346.10 = 179,728.20/x
  3. Step 3: Cross multiply
    287,344.94x = 396,346.10 × 179,728.20
  4. Step 4: Simplify right side
    287,344.94x = 71,234,570,231.38
  5. Step 5: Solve for x
    x = 71,234,570,231.38/287,344.94
  6. Step 6: Final answer
    x = 247,906.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.