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Finding the Fourth Proportional to 272,764.80, 407,306.88 and 222,945.12

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Solution

The fourth proportional to 272,764.80, 407,306.88 and 222,945.12 is: 332,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,764.80 : 407,306.88 = 222,945.12 : x
  2. Step 2: Convert to fraction form
    272,764.80/407,306.88 = 222,945.12/x
  3. Step 3: Cross multiply
    272,764.80x = 407,306.88 × 222,945.12
  4. Step 4: Simplify right side
    272,764.80x = 90,807,081,238.43
  5. Step 5: Solve for x
    x = 90,807,081,238.43/272,764.80
  6. Step 6: Final answer
    x = 332,913.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.