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Finding the Fourth Proportional to 361,891.58, 499,470.18 and 200,798.52

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Solution

The fourth proportional to 361,891.58, 499,470.18 and 200,798.52 is: 277,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,891.58 : 499,470.18 = 200,798.52 : x
  2. Step 2: Convert to fraction form
    361,891.58/499,470.18 = 200,798.52/x
  3. Step 3: Cross multiply
    361,891.58x = 499,470.18 × 200,798.52
  4. Step 4: Simplify right side
    361,891.58x = 100,292,872,928.13
  5. Step 5: Solve for x
    x = 100,292,872,928.13/361,891.58
  6. Step 6: Final answer
    x = 277,135.14

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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.