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Finding the Fourth Proportional to 322,769.51, 484,067.76 and 98,069.61

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Solution

The fourth proportional to 322,769.51, 484,067.76 and 98,069.61 is: 147,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,769.51 : 484,067.76 = 98,069.61 : x
  2. Step 2: Convert to fraction form
    322,769.51/484,067.76 = 98,069.61/x
  3. Step 3: Cross multiply
    322,769.51x = 484,067.76 × 98,069.61
  4. Step 4: Simplify right side
    322,769.51x = 47,472,336,436.77
  5. Step 5: Solve for x
    x = 47,472,336,436.77/322,769.51
  6. Step 6: Final answer
    x = 147,078.13

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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.