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Finding the Fourth Proportional to 297,282.31, 410,078.02 and 189,731.12

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Solution

The fourth proportional to 297,282.31, 410,078.02 and 189,731.12 is: 261,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,282.31 : 410,078.02 = 189,731.12 : x
  2. Step 2: Convert to fraction form
    297,282.31/410,078.02 = 189,731.12/x
  3. Step 3: Cross multiply
    297,282.31x = 410,078.02 × 189,731.12
  4. Step 4: Simplify right side
    297,282.31x = 77,804,561,390.80
  5. Step 5: Solve for x
    x = 77,804,561,390.80/297,282.31
  6. Step 6: Final answer
    x = 261,719.44

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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.