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Finding the Fourth Proportional to 304,077.87, 419,694.08 and 176,826.87

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Solution

The fourth proportional to 304,077.87, 419,694.08 and 176,826.87 is: 244,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,077.87 : 419,694.08 = 176,826.87 : x
  2. Step 2: Convert to fraction form
    304,077.87/419,694.08 = 176,826.87/x
  3. Step 3: Cross multiply
    304,077.87x = 419,694.08 × 176,826.87
  4. Step 4: Simplify right side
    304,077.87x = 74,213,189,639.80
  5. Step 5: Solve for x
    x = 74,213,189,639.80/304,077.87
  6. Step 6: Final answer
    x = 244,059.82

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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.