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Finding the Fourth Proportional to 295,115.92, 442,672.92 and 176,822.80

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Solution

The fourth proportional to 295,115.92, 442,672.92 and 176,822.80 is: 265,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,115.92 : 442,672.92 = 176,822.80 : x
  2. Step 2: Convert to fraction form
    295,115.92/442,672.92 = 176,822.80/x
  3. Step 3: Cross multiply
    295,115.92x = 442,672.92 × 176,822.80
  4. Step 4: Simplify right side
    295,115.92x = 78,274,665,198.58
  5. Step 5: Solve for x
    x = 78,274,665,198.58/295,115.92
  6. Step 6: Final answer
    x = 265,233.62

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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.