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Finding the Fourth Proportional to 322,827, 484,318.26 and 101,211

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Solution

The fourth proportional to 322,827, 484,318.26 and 101,211 is: 151,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,827 : 484,318.26 = 101,211 : x
  2. Step 2: Convert to fraction form
    322,827/484,318.26 = 101,211/x
  3. Step 3: Cross multiply
    322,827x = 484,318.26 × 101,211
  4. Step 4: Simplify right side
    322,827x = 49,018,335,412.86
  5. Step 5: Solve for x
    x = 49,018,335,412.86/322,827
  6. Step 6: Final answer
    x = 151,840.88

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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.