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Finding the Fourth Proportional to 322,785, 484,255.26 and 101,169

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Solution

The fourth proportional to 322,785, 484,255.26 and 101,169 is: 151,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,785 : 484,255.26 = 101,169 : x
  2. Step 2: Convert to fraction form
    322,785/484,255.26 = 101,169/x
  3. Step 3: Cross multiply
    322,785x = 484,255.26 × 101,169
  4. Step 4: Simplify right side
    322,785x = 48,991,620,398.94
  5. Step 5: Solve for x
    x = 48,991,620,398.94/322,785
  6. Step 6: Final answer
    x = 151,777.87

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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.