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Finding the Fourth Proportional to 398,885.72, 598,323.97 and 114,583.24

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Solution

The fourth proportional to 398,885.72, 598,323.97 and 114,583.24 is: 171,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,885.72 : 598,323.97 = 114,583.24 : x
  2. Step 2: Convert to fraction form
    398,885.72/598,323.97 = 114,583.24/x
  3. Step 3: Cross multiply
    398,885.72x = 598,323.97 × 114,583.24
  4. Step 4: Simplify right side
    398,885.72x = 68,557,899,052.26
  5. Step 5: Solve for x
    x = 68,557,899,052.26/398,885.72
  6. Step 6: Final answer
    x = 171,873.54

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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.