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Finding the Fourth Proportional to 549,940.80, 824,910.56 and 150,584.64

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Solution

The fourth proportional to 549,940.80, 824,910.56 and 150,584.64 is: 225,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,940.80 : 824,910.56 = 150,584.64 : x
  2. Step 2: Convert to fraction form
    549,940.80/824,910.56 = 150,584.64/x
  3. Step 3: Cross multiply
    549,940.80x = 824,910.56 × 150,584.64
  4. Step 4: Simplify right side
    549,940.80x = 124,218,859,709.80
  5. Step 5: Solve for x
    x = 124,218,859,709.80/549,940.80
  6. Step 6: Final answer
    x = 225,876.78

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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.