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Finding the Fourth Proportional to 398,122.44, 597,179.96 and 161,408.85

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Solution

The fourth proportional to 398,122.44, 597,179.96 and 161,408.85 is: 242,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,122.44 : 597,179.96 = 161,408.85 : x
  2. Step 2: Convert to fraction form
    398,122.44/597,179.96 = 161,408.85/x
  3. Step 3: Cross multiply
    398,122.44x = 597,179.96 × 161,408.85
  4. Step 4: Simplify right side
    398,122.44x = 96,390,130,990.17
  5. Step 5: Solve for x
    x = 96,390,130,990.17/398,122.44
  6. Step 6: Final answer
    x = 242,111.78

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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.