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Finding the Fourth Proportional to 367,311.80, 551,086.78 and 180,192.08

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Solution

The fourth proportional to 367,311.80, 551,086.78 and 180,192.08 is: 270,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,311.80 : 551,086.78 = 180,192.08 : x
  2. Step 2: Convert to fraction form
    367,311.80/551,086.78 = 180,192.08/x
  3. Step 3: Cross multiply
    367,311.80x = 551,086.78 × 180,192.08
  4. Step 4: Simplify right side
    367,311.80x = 99,301,473,148.70
  5. Step 5: Solve for x
    x = 99,301,473,148.70/367,311.80
  6. Step 6: Final answer
    x = 270,346.54

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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.