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Finding the Fourth Proportional to 484,514.92, 726,237.15 and 200,048.64

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Solution

The fourth proportional to 484,514.92, 726,237.15 and 200,048.64 is: 299,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,514.92 : 726,237.15 = 200,048.64 : x
  2. Step 2: Convert to fraction form
    484,514.92/726,237.15 = 200,048.64/x
  3. Step 3: Cross multiply
    484,514.92x = 726,237.15 × 200,048.64
  4. Step 4: Simplify right side
    484,514.92x = 145,282,754,174.98
  5. Step 5: Solve for x
    x = 145,282,754,174.98/484,514.92
  6. Step 6: Final answer
    x = 299,851.97

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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.