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Finding the Fourth Proportional to 398,132.68, 597,195.32 and 161,419.12

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Solution

The fourth proportional to 398,132.68, 597,195.32 and 161,419.12 is: 242,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,132.68 : 597,195.32 = 161,419.12 : x
  2. Step 2: Convert to fraction form
    398,132.68/597,195.32 = 161,419.12/x
  3. Step 3: Cross multiply
    398,132.68x = 597,195.32 × 161,419.12
  4. Step 4: Simplify right side
    398,132.68x = 96,398,743,022.52
  5. Step 5: Solve for x
    x = 96,398,743,022.52/398,132.68
  6. Step 6: Final answer
    x = 242,127.18

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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.