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Finding the Fourth Proportional to 376,182.92, 563,977.49 and 186,512.51

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Solution

The fourth proportional to 376,182.92, 563,977.49 and 186,512.51 is: 279,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,182.92 : 563,977.49 = 186,512.51 : x
  2. Step 2: Convert to fraction form
    376,182.92/563,977.49 = 186,512.51/x
  3. Step 3: Cross multiply
    376,182.92x = 563,977.49 × 186,512.51
  4. Step 4: Simplify right side
    376,182.92x = 105,188,853,490.95
  5. Step 5: Solve for x
    x = 105,188,853,490.95/376,182.92
  6. Step 6: Final answer
    x = 279,621.56

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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.