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Finding the Fourth Proportional to 401,052, 553,451.76 and 222,204

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Solution

The fourth proportional to 401,052, 553,451.76 and 222,204 is: 306,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,052 : 553,451.76 = 222,204 : x
  2. Step 2: Convert to fraction form
    401,052/553,451.76 = 222,204/x
  3. Step 3: Cross multiply
    401,052x = 553,451.76 × 222,204
  4. Step 4: Simplify right side
    401,052x = 122,979,194,879.04
  5. Step 5: Solve for x
    x = 122,979,194,879.04/401,052
  6. Step 6: Final answer
    x = 306,641.52

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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.