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Finding the Fourth Proportional to 397,349.82, 596,287.44 and 187,004.16

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Solution

The fourth proportional to 397,349.82, 596,287.44 and 187,004.16 is: 280,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,349.82 : 596,287.44 = 187,004.16 : x
  2. Step 2: Convert to fraction form
    397,349.82/596,287.44 = 187,004.16/x
  3. Step 3: Cross multiply
    397,349.82x = 596,287.44 × 187,004.16
  4. Step 4: Simplify right side
    397,349.82x = 111,508,231,835.75
  5. Step 5: Solve for x
    x = 111,508,231,835.75/397,349.82
  6. Step 6: Final answer
    x = 280,629.88

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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.