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Finding the Fourth Proportional to 312,467.97, 431,206.14 and 169,228.18

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Solution

The fourth proportional to 312,467.97, 431,206.14 and 169,228.18 is: 233,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,467.97 : 431,206.14 = 169,228.18 : x
  2. Step 2: Convert to fraction form
    312,467.97/431,206.14 = 169,228.18/x
  3. Step 3: Cross multiply
    312,467.97x = 431,206.14 × 169,228.18
  4. Step 4: Simplify right side
    312,467.97x = 72,972,230,277.03
  5. Step 5: Solve for x
    x = 72,972,230,277.03/312,467.97
  6. Step 6: Final answer
    x = 233,535.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.