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Finding the Fourth Proportional to 338,882.56, 467,714 and 188,028.16

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Solution

The fourth proportional to 338,882.56, 467,714 and 188,028.16 is: 259,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,882.56 : 467,714 = 188,028.16 : x
  2. Step 2: Convert to fraction form
    338,882.56/467,714 = 188,028.16/x
  3. Step 3: Cross multiply
    338,882.56x = 467,714 × 188,028.16
  4. Step 4: Simplify right side
    338,882.56x = 87,943,402,826.24
  5. Step 5: Solve for x
    x = 87,943,402,826.24/338,882.56
  6. Step 6: Final answer
    x = 259,509.97

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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.