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Finding the Fourth Proportional to 340,644.24, 470,082.96 and 189,738

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Solution

The fourth proportional to 340,644.24, 470,082.96 and 189,738 is: 261,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,644.24 : 470,082.96 = 189,738 : x
  2. Step 2: Convert to fraction form
    340,644.24/470,082.96 = 189,738/x
  3. Step 3: Cross multiply
    340,644.24x = 470,082.96 × 189,738
  4. Step 4: Simplify right side
    340,644.24x = 89,192,600,664.48
  5. Step 5: Solve for x
    x = 89,192,600,664.48/340,644.24
  6. Step 6: Final answer
    x = 261,835.05

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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.