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Finding the Fourth Proportional to 609,029.28, 913,604.94 and 209,617.20

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Solution

The fourth proportional to 609,029.28, 913,604.94 and 209,617.20 is: 314,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,029.28 : 913,604.94 = 209,617.20 : x
  2. Step 2: Convert to fraction form
    609,029.28/913,604.94 = 209,617.20/x
  3. Step 3: Cross multiply
    609,029.28x = 913,604.94 × 209,617.20
  4. Step 4: Simplify right side
    609,029.28x = 191,507,309,428.97
  5. Step 5: Solve for x
    x = 191,507,309,428.97/609,029.28
  6. Step 6: Final answer
    x = 314,446.80

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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.