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Finding the Fourth Proportional to 484,514.66, 726,236.78 and 200,048.38

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Solution

The fourth proportional to 484,514.66, 726,236.78 and 200,048.38 is: 299,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,514.66 : 726,236.78 = 200,048.38 : x
  2. Step 2: Convert to fraction form
    484,514.66/726,236.78 = 200,048.38/x
  3. Step 3: Cross multiply
    484,514.66x = 726,236.78 × 200,048.38
  4. Step 4: Simplify right side
    484,514.66x = 145,282,488,519.58
  5. Step 5: Solve for x
    x = 145,282,488,519.58/484,514.66
  6. Step 6: Final answer
    x = 299,851.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.