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Finding the Fourth Proportional to 398,531.80, 597,797.70 and 161,882.20

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Solution

The fourth proportional to 398,531.80, 597,797.70 and 161,882.20 is: 242,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,531.80 : 597,797.70 = 161,882.20 : x
  2. Step 2: Convert to fraction form
    398,531.80/597,797.70 = 161,882.20/x
  3. Step 3: Cross multiply
    398,531.80x = 597,797.70 × 161,882.20
  4. Step 4: Simplify right side
    398,531.80x = 96,772,806,830.94
  5. Step 5: Solve for x
    x = 96,772,806,830.94/398,531.80
  6. Step 6: Final answer
    x = 242,823.30

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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.