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Finding the Fourth Proportional to 884,815, 1,327,227.36 and 219,967

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Solution

The fourth proportional to 884,815, 1,327,227.36 and 219,967 is: 329,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,815 : 1,327,227.36 = 219,967 : x
  2. Step 2: Convert to fraction form
    884,815/1,327,227.36 = 219,967/x
  3. Step 3: Cross multiply
    884,815x = 1,327,227.36 × 219,967
  4. Step 4: Simplify right side
    884,815x = 291,946,220,697.12
  5. Step 5: Solve for x
    x = 291,946,220,697.12/884,815
  6. Step 6: Final answer
    x = 329,951.71

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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.