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Finding the Fourth Proportional to 398,517.64, 597,907.69 and 161,796.76

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Solution

The fourth proportional to 398,517.64, 597,907.69 and 161,796.76 is: 242,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,517.64 : 597,907.69 = 161,796.76 : x
  2. Step 2: Convert to fraction form
    398,517.64/597,907.69 = 161,796.76/x
  3. Step 3: Cross multiply
    398,517.64x = 597,907.69 × 161,796.76
  4. Step 4: Simplify right side
    398,517.64x = 96,739,527,021.08
  5. Step 5: Solve for x
    x = 96,739,527,021.08/398,517.64
  6. Step 6: Final answer
    x = 242,748.42

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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.