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Finding the Fourth Proportional to 229,618.48, 344,427.24 and 63,406

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Solution

The fourth proportional to 229,618.48, 344,427.24 and 63,406 is: 95,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,618.48 : 344,427.24 = 63,406 : x
  2. Step 2: Convert to fraction form
    229,618.48/344,427.24 = 63,406/x
  3. Step 3: Cross multiply
    229,618.48x = 344,427.24 × 63,406
  4. Step 4: Simplify right side
    229,618.48x = 21,838,753,579.44
  5. Step 5: Solve for x
    x = 21,838,753,579.44/229,618.48
  6. Step 6: Final answer
    x = 95,108.87

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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.