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Finding the Fourth Proportional to 367,231.20, 550,846.80 and 314,743.20

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Solution

The fourth proportional to 367,231.20, 550,846.80 and 314,743.20 is: 472,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,231.20 : 550,846.80 = 314,743.20 : x
  2. Step 2: Convert to fraction form
    367,231.20/550,846.80 = 314,743.20/x
  3. Step 3: Cross multiply
    367,231.20x = 550,846.80 × 314,743.20
  4. Step 4: Simplify right side
    367,231.20x = 173,375,284,541.76
  5. Step 5: Solve for x
    x = 173,375,284,541.76/367,231.20
  6. Step 6: Final answer
    x = 472,114.80

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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.