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Finding the Fourth Proportional to 382,251.84, 527,384.24 and 212,453.20

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Solution

The fourth proportional to 382,251.84, 527,384.24 and 212,453.20 is: 293,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,251.84 : 527,384.24 = 212,453.20 : x
  2. Step 2: Convert to fraction form
    382,251.84/527,384.24 = 212,453.20/x
  3. Step 3: Cross multiply
    382,251.84x = 527,384.24 × 212,453.20
  4. Step 4: Simplify right side
    382,251.84x = 112,044,469,417.57
  5. Step 5: Solve for x
    x = 112,044,469,417.57/382,251.84
  6. Step 6: Final answer
    x = 293,116.89

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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.