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Finding the Fourth Proportional to 322,791, 484,264.26 and 101,175

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Solution

The fourth proportional to 322,791, 484,264.26 and 101,175 is: 151,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,791 : 484,264.26 = 101,175 : x
  2. Step 2: Convert to fraction form
    322,791/484,264.26 = 101,175/x
  3. Step 3: Cross multiply
    322,791x = 484,264.26 × 101,175
  4. Step 4: Simplify right side
    322,791x = 48,995,436,505.50
  5. Step 5: Solve for x
    x = 48,995,436,505.50/322,791
  6. Step 6: Final answer
    x = 151,786.87

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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.