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Finding the Fourth Proportional to 312,206.67, 430,744.64 and 191,221.83

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Solution

The fourth proportional to 312,206.67, 430,744.64 and 191,221.83 is: 263,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,206.67 : 430,744.64 = 191,221.83 : x
  2. Step 2: Convert to fraction form
    312,206.67/430,744.64 = 191,221.83/x
  3. Step 3: Cross multiply
    312,206.67x = 430,744.64 × 191,221.83
  4. Step 4: Simplify right side
    312,206.67x = 82,367,777,367.38
  5. Step 5: Solve for x
    x = 82,367,777,367.38/312,206.67
  6. Step 6: Final answer
    x = 263,824.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.