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Finding the Fourth Proportional to 361,791.53, 499,302.98 and 200,698.48

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Solution

The fourth proportional to 361,791.53, 499,302.98 and 200,698.48 is: 276,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,791.53 : 499,302.98 = 200,698.48 : x
  2. Step 2: Convert to fraction form
    361,791.53/499,302.98 = 200,698.48/x
  3. Step 3: Cross multiply
    361,791.53x = 499,302.98 × 200,698.48
  4. Step 4: Simplify right side
    361,791.53x = 100,209,349,145.47
  5. Step 5: Solve for x
    x = 100,209,349,145.47/361,791.53
  6. Step 6: Final answer
    x = 276,980.92

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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.