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Finding the Fourth Proportional to 287,180.47, 396,431.58 and 204,447.78

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Solution

The fourth proportional to 287,180.47, 396,431.58 and 204,447.78 is: 282,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,180.47 : 396,431.58 = 204,447.78 : x
  2. Step 2: Convert to fraction form
    287,180.47/396,431.58 = 204,447.78/x
  3. Step 3: Cross multiply
    287,180.47x = 396,431.58 × 204,447.78
  4. Step 4: Simplify right side
    287,180.47x = 81,049,556,452.89
  5. Step 5: Solve for x
    x = 81,049,556,452.89/287,180.47
  6. Step 6: Final answer
    x = 282,225.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.