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Finding the Fourth Proportional to 284,057.82, 426,086.22 and 165,646.12

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Solution

The fourth proportional to 284,057.82, 426,086.22 and 165,646.12 is: 248,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,057.82 : 426,086.22 = 165,646.12 : x
  2. Step 2: Convert to fraction form
    284,057.82/426,086.22 = 165,646.12/x
  3. Step 3: Cross multiply
    284,057.82x = 426,086.22 × 165,646.12
  4. Step 4: Simplify right side
    284,057.82x = 70,579,529,128.47
  5. Step 5: Solve for x
    x = 70,579,529,128.47/284,057.82
  6. Step 6: Final answer
    x = 248,468.88

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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.