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Finding the Fourth Proportional to 444,983.96, 667,009.38 and 208,127

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Solution

The fourth proportional to 444,983.96, 667,009.38 and 208,127 is: 311,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,983.96 : 667,009.38 = 208,127 : x
  2. Step 2: Convert to fraction form
    444,983.96/667,009.38 = 208,127/x
  3. Step 3: Cross multiply
    444,983.96x = 667,009.38 × 208,127
  4. Step 4: Simplify right side
    444,983.96x = 138,822,661,231.26
  5. Step 5: Solve for x
    x = 138,822,661,231.26/444,983.96
  6. Step 6: Final answer
    x = 311,972.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.