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Finding the Fourth Proportional to 367,082.20, 550,623.30 and 209,618.20

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Solution

The fourth proportional to 367,082.20, 550,623.30 and 209,618.20 is: 314,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,082.20 : 550,623.30 = 209,618.20 : x
  2. Step 2: Convert to fraction form
    367,082.20/550,623.30 = 209,618.20/x
  3. Step 3: Cross multiply
    367,082.20x = 550,623.30 × 209,618.20
  4. Step 4: Simplify right side
    367,082.20x = 115,420,665,024.06
  5. Step 5: Solve for x
    x = 115,420,665,024.06/367,082.20
  6. Step 6: Final answer
    x = 314,427.30

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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.