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Finding the Fourth Proportional to 382,141.66, 527,344.05 and 218,792.74

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Solution

The fourth proportional to 382,141.66, 527,344.05 and 218,792.74 is: 301,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,141.66 : 527,344.05 = 218,792.74 : x
  2. Step 2: Convert to fraction form
    382,141.66/527,344.05 = 218,792.74/x
  3. Step 3: Cross multiply
    382,141.66x = 527,344.05 × 218,792.74
  4. Step 4: Simplify right side
    382,141.66x = 115,379,049,622.20
  5. Step 5: Solve for x
    x = 115,379,049,622.20/382,141.66
  6. Step 6: Final answer
    x = 301,927.43

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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.