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Finding the Fourth Proportional to 414,626.90, 572,178.21 and 233,338.78

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Solution

The fourth proportional to 414,626.90, 572,178.21 and 233,338.78 is: 322,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,626.90 : 572,178.21 = 233,338.78 : x
  2. Step 2: Convert to fraction form
    414,626.90/572,178.21 = 233,338.78/x
  3. Step 3: Cross multiply
    414,626.90x = 572,178.21 × 233,338.78
  4. Step 4: Simplify right side
    414,626.90x = 133,511,362,603.09
  5. Step 5: Solve for x
    x = 133,511,362,603.09/414,626.90
  6. Step 6: Final answer
    x = 322,003.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.