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Finding the Fourth Proportional to 643,910.71, 965,866.05 and 223,186.57

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Solution

The fourth proportional to 643,910.71, 965,866.05 and 223,186.57 is: 334,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,910.71 : 965,866.05 = 223,186.57 : x
  2. Step 2: Convert to fraction form
    643,910.71/965,866.05 = 223,186.57/x
  3. Step 3: Cross multiply
    643,910.71x = 965,866.05 × 223,186.57
  4. Step 4: Simplify right side
    643,910.71x = 215,568,330,778.95
  5. Step 5: Solve for x
    x = 215,568,330,778.95/643,910.71
  6. Step 6: Final answer
    x = 334,779.85

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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.