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Finding the Fourth Proportional to 392,717.50, 589,076.26 and 97,229.50

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Solution

The fourth proportional to 392,717.50, 589,076.26 and 97,229.50 is: 145,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,717.50 : 589,076.26 = 97,229.50 : x
  2. Step 2: Convert to fraction form
    392,717.50/589,076.26 = 97,229.50/x
  3. Step 3: Cross multiply
    392,717.50x = 589,076.26 × 97,229.50
  4. Step 4: Simplify right side
    392,717.50x = 57,275,590,221.67
  5. Step 5: Solve for x
    x = 57,275,590,221.67/392,717.50
  6. Step 6: Final answer
    x = 145,844.25

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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.