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Finding the Fourth Proportional to 653,229, 979,843.50 and 209,997

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Solution

The fourth proportional to 653,229, 979,843.50 and 209,997 is: 314,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,229 : 979,843.50 = 209,997 : x
  2. Step 2: Convert to fraction form
    653,229/979,843.50 = 209,997/x
  3. Step 3: Cross multiply
    653,229x = 979,843.50 × 209,997
  4. Step 4: Simplify right side
    653,229x = 205,764,195,469.50
  5. Step 5: Solve for x
    x = 205,764,195,469.50/653,229
  6. Step 6: Final answer
    x = 314,995.50

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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.