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Finding the Fourth Proportional to 322,473.38, 483,709.92 and 112,111.28

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Solution

The fourth proportional to 322,473.38, 483,709.92 and 112,111.28 is: 168,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,473.38 : 483,709.92 = 112,111.28 : x
  2. Step 2: Convert to fraction form
    322,473.38/483,709.92 = 112,111.28/x
  3. Step 3: Cross multiply
    322,473.38x = 483,709.92 × 112,111.28
  4. Step 4: Simplify right side
    322,473.38x = 54,229,338,279.90
  5. Step 5: Solve for x
    x = 54,229,338,279.90/322,473.38
  6. Step 6: Final answer
    x = 168,166.87

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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.