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Finding the Fourth Proportional to 367,543.20, 551,314.80 and 180,919.20

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Solution

The fourth proportional to 367,543.20, 551,314.80 and 180,919.20 is: 271,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,543.20 : 551,314.80 = 180,919.20 : x
  2. Step 2: Convert to fraction form
    367,543.20/551,314.80 = 180,919.20/x
  3. Step 3: Cross multiply
    367,543.20x = 551,314.80 × 180,919.20
  4. Step 4: Simplify right side
    367,543.20x = 99,743,432,564.16
  5. Step 5: Solve for x
    x = 99,743,432,564.16/367,543.20
  6. Step 6: Final answer
    x = 271,378.80

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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.