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Finding the Fourth Proportional to 322,829, 484,321.26 and 101,213

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Solution

The fourth proportional to 322,829, 484,321.26 and 101,213 is: 151,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,829 : 484,321.26 = 101,213 : x
  2. Step 2: Convert to fraction form
    322,829/484,321.26 = 101,213/x
  3. Step 3: Cross multiply
    322,829x = 484,321.26 × 101,213
  4. Step 4: Simplify right side
    322,829x = 49,019,607,688.38
  5. Step 5: Solve for x
    x = 49,019,607,688.38/322,829
  6. Step 6: Final answer
    x = 151,843.88

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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.