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Finding the Fourth Proportional to 382,171.32, 527,392.62 and 212,401.80

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Solution

The fourth proportional to 382,171.32, 527,392.62 and 212,401.80 is: 293,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,171.32 : 527,392.62 = 212,401.80 : x
  2. Step 2: Convert to fraction form
    382,171.32/527,392.62 = 212,401.80/x
  3. Step 3: Cross multiply
    382,171.32x = 527,392.62 × 212,401.80
  4. Step 4: Simplify right side
    382,171.32x = 112,019,141,794.72
  5. Step 5: Solve for x
    x = 112,019,141,794.72/382,171.32
  6. Step 6: Final answer
    x = 293,112.37

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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.