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Finding the Fourth Proportional to 268,628.40, 403,234.20 and 209,725.20

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Solution

The fourth proportional to 268,628.40, 403,234.20 and 209,725.20 is: 314,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,628.40 : 403,234.20 = 209,725.20 : x
  2. Step 2: Convert to fraction form
    268,628.40/403,234.20 = 209,725.20/x
  3. Step 3: Cross multiply
    268,628.40x = 403,234.20 × 209,725.20
  4. Step 4: Simplify right side
    268,628.40x = 84,568,373,241.84
  5. Step 5: Solve for x
    x = 84,568,373,241.84/268,628.40
  6. Step 6: Final answer
    x = 314,815.46

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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.