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Finding the Fourth Proportional to 283,882.86, 426,119.54 and 209,087.46

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Solution

The fourth proportional to 283,882.86, 426,119.54 and 209,087.46 is: 313,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,882.86 : 426,119.54 = 209,087.46 : x
  2. Step 2: Convert to fraction form
    283,882.86/426,119.54 = 209,087.46/x
  3. Step 3: Cross multiply
    283,882.86x = 426,119.54 × 209,087.46
  4. Step 4: Simplify right side
    283,882.86x = 89,096,251,229.53
  5. Step 5: Solve for x
    x = 89,096,251,229.53/283,882.86
  6. Step 6: Final answer
    x = 313,848.65

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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.