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Finding the Fourth Proportional to 361,862.56, 499,430.08 and 200,769.44

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Solution

The fourth proportional to 361,862.56, 499,430.08 and 200,769.44 is: 277,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,862.56 : 499,430.08 = 200,769.44 : x
  2. Step 2: Convert to fraction form
    361,862.56/499,430.08 = 200,769.44/x
  3. Step 3: Cross multiply
    361,862.56x = 499,430.08 × 200,769.44
  4. Step 4: Simplify right side
    361,862.56x = 100,270,297,480.76
  5. Step 5: Solve for x
    x = 100,270,297,480.76/361,862.56
  6. Step 6: Final answer
    x = 277,094.98

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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.