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Finding the Fourth Proportional to 305,891.46, 422,180.37 and 176,834.16

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Solution

The fourth proportional to 305,891.46, 422,180.37 and 176,834.16 is: 244,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,891.46 : 422,180.37 = 176,834.16 : x
  2. Step 2: Convert to fraction form
    305,891.46/422,180.37 = 176,834.16/x
  3. Step 3: Cross multiply
    305,891.46x = 422,180.37 × 176,834.16
  4. Step 4: Simplify right side
    305,891.46x = 74,655,911,097.44
  5. Step 5: Solve for x
    x = 74,655,911,097.44/305,891.46
  6. Step 6: Final answer
    x = 244,060.14

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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.