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Finding the Fourth Proportional to 315,891.14, 474,058.12 and 182,588

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Solution

The fourth proportional to 315,891.14, 474,058.12 and 182,588 is: 274,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,891.14 : 474,058.12 = 182,588 : x
  2. Step 2: Convert to fraction form
    315,891.14/474,058.12 = 182,588/x
  3. Step 3: Cross multiply
    315,891.14x = 474,058.12 × 182,588
  4. Step 4: Simplify right side
    315,891.14x = 86,557,324,014.56
  5. Step 5: Solve for x
    x = 86,557,324,014.56/315,891.14
  6. Step 6: Final answer
    x = 274,009.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.