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Finding the Fourth Proportional to 284,324.52, 426,602.78 and 183,175.43

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Solution

The fourth proportional to 284,324.52, 426,602.78 and 183,175.43 is: 274,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,324.52 : 426,602.78 = 183,175.43 : x
  2. Step 2: Convert to fraction form
    284,324.52/426,602.78 = 183,175.43/x
  3. Step 3: Cross multiply
    284,324.52x = 426,602.78 × 183,175.43
  4. Step 4: Simplify right side
    284,324.52x = 78,143,147,665.70
  5. Step 5: Solve for x
    x = 78,143,147,665.70/284,324.52
  6. Step 6: Final answer
    x = 274,837.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.