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Finding the Fourth Proportional to 312,660.06, 431,472.38 and 169,420.36

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Solution

The fourth proportional to 312,660.06, 431,472.38 and 169,420.36 is: 233,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,660.06 : 431,472.38 = 169,420.36 : x
  2. Step 2: Convert to fraction form
    312,660.06/431,472.38 = 169,420.36/x
  3. Step 3: Cross multiply
    312,660.06x = 431,472.38 × 169,420.36
  4. Step 4: Simplify right side
    312,660.06x = 73,100,205,949.66
  5. Step 5: Solve for x
    x = 73,100,205,949.66/312,660.06
  6. Step 6: Final answer
    x = 233,800.91

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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.