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Finding the Fourth Proportional to 290,596.94, 401,202.70 and 230,410.70

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Solution

The fourth proportional to 290,596.94, 401,202.70 and 230,410.70 is: 318,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,596.94 : 401,202.70 = 230,410.70 : x
  2. Step 2: Convert to fraction form
    290,596.94/401,202.70 = 230,410.70/x
  3. Step 3: Cross multiply
    290,596.94x = 401,202.70 × 230,410.70
  4. Step 4: Simplify right side
    290,596.94x = 92,441,394,948.89
  5. Step 5: Solve for x
    x = 92,441,394,948.89/290,596.94
  6. Step 6: Final answer
    x = 318,108.63

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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.