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Finding the Fourth Proportional to 338,239.92, 466,774.52 and 204,078

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Solution

The fourth proportional to 338,239.92, 466,774.52 and 204,078 is: 281,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,239.92 : 466,774.52 = 204,078 : x
  2. Step 2: Convert to fraction form
    338,239.92/466,774.52 = 204,078/x
  3. Step 3: Cross multiply
    338,239.92x = 466,774.52 × 204,078
  4. Step 4: Simplify right side
    338,239.92x = 95,258,410,492.56
  5. Step 5: Solve for x
    x = 95,258,410,492.56/338,239.92
  6. Step 6: Final answer
    x = 281,629.71

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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.