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Finding the Fourth Proportional to 384,136.44, 530,105.22 and 223,006.44

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Solution

The fourth proportional to 384,136.44, 530,105.22 and 223,006.44 is: 307,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,136.44 : 530,105.22 = 223,006.44 : x
  2. Step 2: Convert to fraction form
    384,136.44/530,105.22 = 223,006.44/x
  3. Step 3: Cross multiply
    384,136.44x = 530,105.22 × 223,006.44
  4. Step 4: Simplify right side
    384,136.44x = 118,216,877,937.62
  5. Step 5: Solve for x
    x = 118,216,877,937.62/384,136.44
  6. Step 6: Final answer
    x = 307,747.11

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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.