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Finding the Fourth Proportional to 297,282.30, 410,078 and 189,731.11

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Solution

The fourth proportional to 297,282.30, 410,078 and 189,731.11 is: 261,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,282.30 : 410,078 = 189,731.11 : x
  2. Step 2: Convert to fraction form
    297,282.30/410,078 = 189,731.11/x
  3. Step 3: Cross multiply
    297,282.30x = 410,078 × 189,731.11
  4. Step 4: Simplify right side
    297,282.30x = 77,804,552,076.19
  5. Step 5: Solve for x
    x = 77,804,552,076.19/297,282.30
  6. Step 6: Final answer
    x = 261,719.43

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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.