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Finding the Fourth Proportional to 297,058, 409,959.48 and 162,922

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Solution

The fourth proportional to 297,058, 409,959.48 and 162,922 is: 224,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,058 : 409,959.48 = 162,922 : x
  2. Step 2: Convert to fraction form
    297,058/409,959.48 = 162,922/x
  3. Step 3: Cross multiply
    297,058x = 409,959.48 × 162,922
  4. Step 4: Simplify right side
    297,058x = 66,791,418,400.56
  5. Step 5: Solve for x
    x = 66,791,418,400.56/297,058
  6. Step 6: Final answer
    x = 224,843.02

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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.