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Finding the Fourth Proportional to 414,442.87, 621,664.31 and 148,187.24

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Solution

The fourth proportional to 414,442.87, 621,664.31 and 148,187.24 is: 222,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,442.87 : 621,664.31 = 148,187.24 : x
  2. Step 2: Convert to fraction form
    414,442.87/621,664.31 = 148,187.24/x
  3. Step 3: Cross multiply
    414,442.87x = 621,664.31 × 148,187.24
  4. Step 4: Simplify right side
    414,442.87x = 92,122,718,305.40
  5. Step 5: Solve for x
    x = 92,122,718,305.40/414,442.87
  6. Step 6: Final answer
    x = 222,280.86

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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.