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Finding the Fourth Proportional to 361,791.66, 499,303.14 and 200,698.59

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Solution

The fourth proportional to 361,791.66, 499,303.14 and 200,698.59 is: 276,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,791.66 : 499,303.14 = 200,698.59 : x
  2. Step 2: Convert to fraction form
    361,791.66/499,303.14 = 200,698.59/x
  3. Step 3: Cross multiply
    361,791.66x = 499,303.14 × 200,698.59
  4. Step 4: Simplify right side
    361,791.66x = 100,209,437,300.34
  5. Step 5: Solve for x
    x = 100,209,437,300.34/361,791.66
  6. Step 6: Final answer
    x = 276,981.06

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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.