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Finding the Fourth Proportional to 366,830.20, 550,245.30 and 209,366.20

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Solution

The fourth proportional to 366,830.20, 550,245.30 and 209,366.20 is: 314,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,830.20 : 550,245.30 = 209,366.20 : x
  2. Step 2: Convert to fraction form
    366,830.20/550,245.30 = 209,366.20/x
  3. Step 3: Cross multiply
    366,830.20x = 550,245.30 × 209,366.20
  4. Step 4: Simplify right side
    366,830.20x = 115,202,767,528.86
  5. Step 5: Solve for x
    x = 115,202,767,528.86/366,830.20
  6. Step 6: Final answer
    x = 314,049.30

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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.