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Finding the Fourth Proportional to 338,241.92, 466,777.28 and 204,080

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Solution

The fourth proportional to 338,241.92, 466,777.28 and 204,080 is: 281,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,241.92 : 466,777.28 = 204,080 : x
  2. Step 2: Convert to fraction form
    338,241.92/466,777.28 = 204,080/x
  3. Step 3: Cross multiply
    338,241.92x = 466,777.28 × 204,080
  4. Step 4: Simplify right side
    338,241.92x = 95,259,907,302.40
  5. Step 5: Solve for x
    x = 95,259,907,302.40/338,241.92
  6. Step 6: Final answer
    x = 281,632.47

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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.