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Finding the Fourth Proportional to 288,937.33, 398,711.82 and 161,588.32

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Solution

The fourth proportional to 288,937.33, 398,711.82 and 161,588.32 is: 222,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,937.33 : 398,711.82 = 161,588.32 : x
  2. Step 2: Convert to fraction form
    288,937.33/398,711.82 = 161,588.32/x
  3. Step 3: Cross multiply
    288,937.33x = 398,711.82 × 161,588.32
  4. Step 4: Simplify right side
    288,937.33x = 64,427,171,164.38
  5. Step 5: Solve for x
    x = 64,427,171,164.38/288,937.33
  6. Step 6: Final answer
    x = 222,979.75

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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.