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Finding the Fourth Proportional to 414,950.40, 622,356.96 and 148,671.36

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Solution

The fourth proportional to 414,950.40, 622,356.96 and 148,671.36 is: 222,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,950.40 : 622,356.96 = 148,671.36 : x
  2. Step 2: Convert to fraction form
    414,950.40/622,356.96 = 148,671.36/x
  3. Step 3: Cross multiply
    414,950.40x = 622,356.96 × 148,671.36
  4. Step 4: Simplify right side
    414,950.40x = 92,526,655,648.67
  5. Step 5: Solve for x
    x = 92,526,655,648.67/414,950.40
  6. Step 6: Final answer
    x = 222,982.45

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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.