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Finding the Fourth Proportional to 288,580.47, 398,233.40 and 161,257.11

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Solution

The fourth proportional to 288,580.47, 398,233.40 and 161,257.11 is: 222,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,580.47 : 398,233.40 = 161,257.11 : x
  2. Step 2: Convert to fraction form
    288,580.47/398,233.40 = 161,257.11/x
  3. Step 3: Cross multiply
    288,580.47x = 398,233.40 × 161,257.11
  4. Step 4: Simplify right side
    288,580.47x = 64,217,965,198.31
  5. Step 5: Solve for x
    x = 64,217,965,198.31/288,580.47
  6. Step 6: Final answer
    x = 222,530.53

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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.