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Finding the Fourth Proportional to 547,648.11, 755,739.63 and 299,280.24

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Solution

The fourth proportional to 547,648.11, 755,739.63 and 299,280.24 is: 412,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,648.11 : 755,739.63 = 299,280.24 : x
  2. Step 2: Convert to fraction form
    547,648.11/755,739.63 = 299,280.24/x
  3. Step 3: Cross multiply
    547,648.11x = 755,739.63 × 299,280.24
  4. Step 4: Simplify right side
    547,648.11x = 226,177,937,843.91
  5. Step 5: Solve for x
    x = 226,177,937,843.91/547,648.11
  6. Step 6: Final answer
    x = 412,998.66

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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.