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Finding the Fourth Proportional to 414,839.76, 622,388.76 and 148,602.56

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Solution

The fourth proportional to 414,839.76, 622,388.76 and 148,602.56 is: 222,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,839.76 : 622,388.76 = 148,602.56 : x
  2. Step 2: Convert to fraction form
    414,839.76/622,388.76 = 148,602.56/x
  3. Step 3: Cross multiply
    414,839.76x = 622,388.76 × 148,602.56
  4. Step 4: Simplify right side
    414,839.76x = 92,488,563,051.23
  5. Step 5: Solve for x
    x = 92,488,563,051.23/414,839.76
  6. Step 6: Final answer
    x = 222,950.09

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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.