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Finding the Fourth Proportional to 361,889.76, 499,467.76 and 200,796.71

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Solution

The fourth proportional to 361,889.76, 499,467.76 and 200,796.71 is: 277,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,889.76 : 499,467.76 = 200,796.71 : x
  2. Step 2: Convert to fraction form
    361,889.76/499,467.76 = 200,796.71/x
  3. Step 3: Cross multiply
    361,889.76x = 499,467.76 × 200,796.71
  4. Step 4: Simplify right side
    361,889.76x = 100,291,482,959.07
  5. Step 5: Solve for x
    x = 100,291,482,959.07/361,889.76
  6. Step 6: Final answer
    x = 277,132.69

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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.