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Finding the Fourth Proportional to 307,205.38, 423,952.41 and 179,869.06

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Solution

The fourth proportional to 307,205.38, 423,952.41 and 179,869.06 is: 248,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,205.38 : 423,952.41 = 179,869.06 : x
  2. Step 2: Convert to fraction form
    307,205.38/423,952.41 = 179,869.06/x
  3. Step 3: Cross multiply
    307,205.38x = 423,952.41 × 179,869.06
  4. Step 4: Simplify right side
    307,205.38x = 76,255,921,471.43
  5. Step 5: Solve for x
    x = 76,255,921,471.43/307,205.38
  6. Step 6: Final answer
    x = 248,224.56

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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.