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Finding the Fourth Proportional to 361,876.54, 499,397.63 and 200,726.34

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Solution

The fourth proportional to 361,876.54, 499,397.63 and 200,726.34 is: 277,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,876.54 : 499,397.63 = 200,726.34 : x
  2. Step 2: Convert to fraction form
    361,876.54/499,397.63 = 200,726.34/x
  3. Step 3: Cross multiply
    361,876.54x = 499,397.63 × 200,726.34
  4. Step 4: Simplify right side
    361,876.54x = 100,242,258,474.57
  5. Step 5: Solve for x
    x = 100,242,258,474.57/361,876.54
  6. Step 6: Final answer
    x = 277,006.79

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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.