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Finding the Fourth Proportional to 338,919.66, 467,709.12 and 188,016.66

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Solution

The fourth proportional to 338,919.66, 467,709.12 and 188,016.66 is: 259,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,919.66 : 467,709.12 = 188,016.66 : x
  2. Step 2: Convert to fraction form
    338,919.66/467,709.12 = 188,016.66/x
  3. Step 3: Cross multiply
    338,919.66x = 467,709.12 × 188,016.66
  4. Step 4: Simplify right side
    338,919.66x = 87,937,106,593.94
  5. Step 5: Solve for x
    x = 87,937,106,593.94/338,919.66
  6. Step 6: Final answer
    x = 259,462.98

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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.