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Finding the Fourth Proportional to 408,996.48, 613,210.12 and 181,168.40

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Solution

The fourth proportional to 408,996.48, 613,210.12 and 181,168.40 is: 271,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,996.48 : 613,210.12 = 181,168.40 : x
  2. Step 2: Convert to fraction form
    408,996.48/613,210.12 = 181,168.40/x
  3. Step 3: Cross multiply
    408,996.48x = 613,210.12 × 181,168.40
  4. Step 4: Simplify right side
    408,996.48x = 111,094,296,304.21
  5. Step 5: Solve for x
    x = 111,094,296,304.21/408,996.48
  6. Step 6: Final answer
    x = 271,626.53

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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.