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Finding the Fourth Proportional to 276,809.40, 415,214.10 and 206,825.40

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Solution

The fourth proportional to 276,809.40, 415,214.10 and 206,825.40 is: 310,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,809.40 : 415,214.10 = 206,825.40 : x
  2. Step 2: Convert to fraction form
    276,809.40/415,214.10 = 206,825.40/x
  3. Step 3: Cross multiply
    276,809.40x = 415,214.10 × 206,825.40
  4. Step 4: Simplify right side
    276,809.40x = 85,876,822,318.14
  5. Step 5: Solve for x
    x = 85,876,822,318.14/276,809.40
  6. Step 6: Final answer
    x = 310,238.10

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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.