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Finding the Fourth Proportional to 290,617.50, 401,216.58 and 188,734.08

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Solution

The fourth proportional to 290,617.50, 401,216.58 and 188,734.08 is: 260,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,617.50 : 401,216.58 = 188,734.08 : x
  2. Step 2: Convert to fraction form
    290,617.50/401,216.58 = 188,734.08/x
  3. Step 3: Cross multiply
    290,617.50x = 401,216.58 × 188,734.08
  4. Step 4: Simplify right side
    290,617.50x = 75,723,242,107.05
  5. Step 5: Solve for x
    x = 75,723,242,107.05/290,617.50
  6. Step 6: Final answer
    x = 260,559.82

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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.