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Finding the Fourth Proportional to 414,807.72, 622,340.76 and 148,570.56

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Solution

The fourth proportional to 414,807.72, 622,340.76 and 148,570.56 is: 222,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,807.72 : 622,340.76 = 148,570.56 : x
  2. Step 2: Convert to fraction form
    414,807.72/622,340.76 = 148,570.56/x
  3. Step 3: Cross multiply
    414,807.72x = 622,340.76 × 148,570.56
  4. Step 4: Simplify right side
    414,807.72x = 92,461,515,224.03
  5. Step 5: Solve for x
    x = 92,461,515,224.03/414,807.72
  6. Step 6: Final answer
    x = 222,902.11

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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.