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Finding the Fourth Proportional to 366,823.20, 550,234.80 and 320,167.20

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Solution

The fourth proportional to 366,823.20, 550,234.80 and 320,167.20 is: 480,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,823.20 : 550,234.80 = 320,167.20 : x
  2. Step 2: Convert to fraction form
    366,823.20/550,234.80 = 320,167.20/x
  3. Step 3: Cross multiply
    366,823.20x = 550,234.80 × 320,167.20
  4. Step 4: Simplify right side
    366,823.20x = 176,167,135,258.56
  5. Step 5: Solve for x
    x = 176,167,135,258.56/366,823.20
  6. Step 6: Final answer
    x = 480,250.80

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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.