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Finding the Fourth Proportional to 398,735.20, 598,208.40 and 173,999.20

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Solution

The fourth proportional to 398,735.20, 598,208.40 and 173,999.20 is: 261,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,735.20 : 598,208.40 = 173,999.20 : x
  2. Step 2: Convert to fraction form
    398,735.20/598,208.40 = 173,999.20/x
  3. Step 3: Cross multiply
    398,735.20x = 598,208.40 × 173,999.20
  4. Step 4: Simplify right side
    398,735.20x = 104,087,783,033.28
  5. Step 5: Solve for x
    x = 104,087,783,033.28/398,735.20
  6. Step 6: Final answer
    x = 261,044.88

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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.