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Finding the Fourth Proportional to 414,841.76, 622,391.76 and 148,604.56

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Solution

The fourth proportional to 414,841.76, 622,391.76 and 148,604.56 is: 222,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,841.76 : 622,391.76 = 148,604.56 : x
  2. Step 2: Convert to fraction form
    414,841.76/622,391.76 = 148,604.56/x
  3. Step 3: Cross multiply
    414,841.76x = 622,391.76 × 148,604.56
  4. Step 4: Simplify right side
    414,841.76x = 92,490,253,642.43
  5. Step 5: Solve for x
    x = 92,490,253,642.43/414,841.76
  6. Step 6: Final answer
    x = 222,953.09

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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.