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Finding the Fourth Proportional to 400,324.56, 600,552.45 and 189,847.68

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Solution

The fourth proportional to 400,324.56, 600,552.45 and 189,847.68 is: 284,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,324.56 : 600,552.45 = 189,847.68 : x
  2. Step 2: Convert to fraction form
    400,324.56/600,552.45 = 189,847.68/x
  3. Step 3: Cross multiply
    400,324.56x = 600,552.45 × 189,847.68
  4. Step 4: Simplify right side
    400,324.56x = 114,013,489,350.82
  5. Step 5: Solve for x
    x = 114,013,489,350.82/400,324.56
  6. Step 6: Final answer
    x = 284,802.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.