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Finding the Fourth Proportional to 398,378.80, 597,568.20 and 161,729.20

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Solution

The fourth proportional to 398,378.80, 597,568.20 and 161,729.20 is: 242,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,378.80 : 597,568.20 = 161,729.20 : x
  2. Step 2: Convert to fraction form
    398,378.80/597,568.20 = 161,729.20/x
  3. Step 3: Cross multiply
    398,378.80x = 597,568.20 × 161,729.20
  4. Step 4: Simplify right side
    398,378.80x = 96,644,226,931.44
  5. Step 5: Solve for x
    x = 96,644,226,931.44/398,378.80
  6. Step 6: Final answer
    x = 242,593.80

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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.