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Finding the Fourth Proportional to 655,843.28, 984,050.80 and 229,684.82

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Solution

The fourth proportional to 655,843.28, 984,050.80 and 229,684.82 is: 344,627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,843.28 : 984,050.80 = 229,684.82 : x
  2. Step 2: Convert to fraction form
    655,843.28/984,050.80 = 229,684.82/x
  3. Step 3: Cross multiply
    655,843.28x = 984,050.80 × 229,684.82
  4. Step 4: Simplify right side
    655,843.28x = 226,021,530,868.86
  5. Step 5: Solve for x
    x = 226,021,530,868.86/655,843.28
  6. Step 6: Final answer
    x = 344,627.35

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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.