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Finding the Fourth Proportional to 400,427.35, 600,463.91 and 119,892.31

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Solution

The fourth proportional to 400,427.35, 600,463.91 and 119,892.31 is: 179,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,427.35 : 600,463.91 = 119,892.31 : x
  2. Step 2: Convert to fraction form
    400,427.35/600,463.91 = 119,892.31/x
  3. Step 3: Cross multiply
    400,427.35x = 600,463.91 × 119,892.31
  4. Step 4: Simplify right side
    400,427.35x = 71,991,004,642.07
  5. Step 5: Solve for x
    x = 71,991,004,642.07/400,427.35
  6. Step 6: Final answer
    x = 179,785.43

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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.