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Finding the Fourth Proportional to 311,906.10, 467,859.15 and 279,246.90

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Solution

The fourth proportional to 311,906.10, 467,859.15 and 279,246.90 is: 418,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.10 : 467,859.15 = 279,246.90 : x
  2. Step 2: Convert to fraction form
    311,906.10/467,859.15 = 279,246.90/x
  3. Step 3: Cross multiply
    311,906.10x = 467,859.15 × 279,246.90
  4. Step 4: Simplify right side
    311,906.10x = 130,648,217,274.14
  5. Step 5: Solve for x
    x = 130,648,217,274.14/311,906.10
  6. Step 6: Final answer
    x = 418,870.35

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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.