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Finding the Fourth Proportional to 313,909.72, 433,198.14 and 170,669.86

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Solution

The fourth proportional to 313,909.72, 433,198.14 and 170,669.86 is: 235,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,909.72 : 433,198.14 = 170,669.86 : x
  2. Step 2: Convert to fraction form
    313,909.72/433,198.14 = 170,669.86/x
  3. Step 3: Cross multiply
    313,909.72x = 433,198.14 × 170,669.86
  4. Step 4: Simplify right side
    313,909.72x = 73,933,865,906.06
  5. Step 5: Solve for x
    x = 73,933,865,906.06/313,909.72
  6. Step 6: Final answer
    x = 235,525.89

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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.