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Finding the Fourth Proportional to 410,872.62, 567,002.52 and 227,106.06

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Solution

The fourth proportional to 410,872.62, 567,002.52 and 227,106.06 is: 313,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,872.62 : 567,002.52 = 227,106.06 : x
  2. Step 2: Convert to fraction form
    410,872.62/567,002.52 = 227,106.06/x
  3. Step 3: Cross multiply
    410,872.62x = 567,002.52 × 227,106.06
  4. Step 4: Simplify right side
    410,872.62x = 128,769,708,327.27
  5. Step 5: Solve for x
    x = 128,769,708,327.27/410,872.62
  6. Step 6: Final answer
    x = 313,405.43

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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.