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Finding the Fourth Proportional to 376,261.92, 563,947.92 and 165,458.88

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Solution

The fourth proportional to 376,261.92, 563,947.92 and 165,458.88 is: 247,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,261.92 : 563,947.92 = 165,458.88 : x
  2. Step 2: Convert to fraction form
    376,261.92/563,947.92 = 165,458.88/x
  3. Step 3: Cross multiply
    376,261.92x = 563,947.92 × 165,458.88
  4. Step 4: Simplify right side
    376,261.92x = 93,310,191,221.53
  5. Step 5: Solve for x
    x = 93,310,191,221.53/376,261.92
  6. Step 6: Final answer
    x = 247,992.65

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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.