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Finding the Fourth Proportional to 296,387.73, 408,976.97 and 169,055.73

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Solution

The fourth proportional to 296,387.73, 408,976.97 and 169,055.73 is: 233,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,387.73 : 408,976.97 = 169,055.73 : x
  2. Step 2: Convert to fraction form
    296,387.73/408,976.97 = 169,055.73/x
  3. Step 3: Cross multiply
    296,387.73x = 408,976.97 × 169,055.73
  4. Step 4: Simplify right side
    296,387.73x = 69,139,899,371.26
  5. Step 5: Solve for x
    x = 69,139,899,371.26/296,387.73
  6. Step 6: Final answer
    x = 233,275.17

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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.