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Finding the Fourth Proportional to 398,967.92, 550,572.92 and 226,885.78

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Solution

The fourth proportional to 398,967.92, 550,572.92 and 226,885.78 is: 313,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,967.92 : 550,572.92 = 226,885.78 : x
  2. Step 2: Convert to fraction form
    398,967.92/550,572.92 = 226,885.78/x
  3. Step 3: Cross multiply
    398,967.92x = 550,572.92 × 226,885.78
  4. Step 4: Simplify right side
    398,967.92x = 124,917,163,890.22
  5. Step 5: Solve for x
    x = 124,917,163,890.22/398,967.92
  6. Step 6: Final answer
    x = 313,100.78

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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.