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Finding the Fourth Proportional to 299,027.83, 412,650.91 and 163,064.39

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Solution

The fourth proportional to 299,027.83, 412,650.91 and 163,064.39 is: 225,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,027.83 : 412,650.91 = 163,064.39 : x
  2. Step 2: Convert to fraction form
    299,027.83/412,650.91 = 163,064.39/x
  3. Step 3: Cross multiply
    299,027.83x = 412,650.91 × 163,064.39
  4. Step 4: Simplify right side
    299,027.83x = 67,288,668,466.60
  5. Step 5: Solve for x
    x = 67,288,668,466.60/299,027.83
  6. Step 6: Final answer
    x = 225,024.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.