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Finding the Fourth Proportional to 356,581.22, 492,082 and 195,441.44

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Solution

The fourth proportional to 356,581.22, 492,082 and 195,441.44 is: 269,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,581.22 : 492,082 = 195,441.44 : x
  2. Step 2: Convert to fraction form
    356,581.22/492,082 = 195,441.44/x
  3. Step 3: Cross multiply
    356,581.22x = 492,082 × 195,441.44
  4. Step 4: Simplify right side
    356,581.22x = 96,173,214,678.08
  5. Step 5: Solve for x
    x = 96,173,214,678.08/356,581.22
  6. Step 6: Final answer
    x = 269,709.14

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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.