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Finding the Fourth Proportional to 229,856, 344,784.24 and 63,644

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Solution

The fourth proportional to 229,856, 344,784.24 and 63,644 is: 95,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,856 : 344,784.24 = 63,644 : x
  2. Step 2: Convert to fraction form
    229,856/344,784.24 = 63,644/x
  3. Step 3: Cross multiply
    229,856x = 344,784.24 × 63,644
  4. Step 4: Simplify right side
    229,856x = 21,943,448,170.56
  5. Step 5: Solve for x
    x = 21,943,448,170.56/229,856
  6. Step 6: Final answer
    x = 95,466.07

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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.