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Finding the Fourth Proportional to 313,216.73, 432,239.38 and 169,976.78

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Solution

The fourth proportional to 313,216.73, 432,239.38 and 169,976.78 is: 234,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,216.73 : 432,239.38 = 169,976.78 : x
  2. Step 2: Convert to fraction form
    313,216.73/432,239.38 = 169,976.78/x
  3. Step 3: Cross multiply
    313,216.73x = 432,239.38 × 169,976.78
  4. Step 4: Simplify right side
    313,216.73x = 73,470,658,657.25
  5. Step 5: Solve for x
    x = 73,470,658,657.25/313,216.73
  6. Step 6: Final answer
    x = 234,568.12

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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.