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Finding the Fourth Proportional to 290,596.44, 401,202 and 230,410.20

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Solution

The fourth proportional to 290,596.44, 401,202 and 230,410.20 is: 318,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,596.44 : 401,202 = 230,410.20 : x
  2. Step 2: Convert to fraction form
    290,596.44/401,202 = 230,410.20/x
  3. Step 3: Cross multiply
    290,596.44x = 401,202 × 230,410.20
  4. Step 4: Simplify right side
    290,596.44x = 92,441,033,060.40
  5. Step 5: Solve for x
    x = 92,441,033,060.40/290,596.44
  6. Step 6: Final answer
    x = 318,107.93

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Why These Related Problems?

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