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Finding the Fourth Proportional to 409,249.49, 612,742.46 and 209,138.99

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Solution

The fourth proportional to 409,249.49, 612,742.46 and 209,138.99 is: 313,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,249.49 : 612,742.46 = 209,138.99 : x
  2. Step 2: Convert to fraction form
    409,249.49/612,742.46 = 209,138.99/x
  3. Step 3: Cross multiply
    409,249.49x = 612,742.46 × 209,138.99
  4. Step 4: Simplify right side
    409,249.49x = 128,148,335,105.11
  5. Step 5: Solve for x
    x = 128,148,335,105.11/409,249.49
  6. Step 6: Final answer
    x = 313,130.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.