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Finding the Fourth Proportional to 471,146.57, 706,799.23 and 218,324.51

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Solution

The fourth proportional to 471,146.57, 706,799.23 and 218,324.51 is: 327,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,146.57 : 706,799.23 = 218,324.51 : x
  2. Step 2: Convert to fraction form
    471,146.57/706,799.23 = 218,324.51/x
  3. Step 3: Cross multiply
    471,146.57x = 706,799.23 × 218,324.51
  4. Step 4: Simplify right side
    471,146.57x = 154,311,591,478.32
  5. Step 5: Solve for x
    x = 154,311,591,478.32/471,146.57
  6. Step 6: Final answer
    x = 327,523.54

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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.