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Finding the Fourth Proportional to 382,599.66, 527,991.94 and 219,252.94

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Solution

The fourth proportional to 382,599.66, 527,991.94 and 219,252.94 is: 302,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,599.66 : 527,991.94 = 219,252.94 : x
  2. Step 2: Convert to fraction form
    382,599.66/527,991.94 = 219,252.94/x
  3. Step 3: Cross multiply
    382,599.66x = 527,991.94 × 219,252.94
  4. Step 4: Simplify right side
    382,599.66x = 115,763,785,141.30
  5. Step 5: Solve for x
    x = 115,763,785,141.30/382,599.66
  6. Step 6: Final answer
    x = 302,571.58

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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.