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Finding the Fourth Proportional to 284,846.76, 393,087.96 and 163,944

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Solution

The fourth proportional to 284,846.76, 393,087.96 and 163,944 is: 226,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,846.76 : 393,087.96 = 163,944 : x
  2. Step 2: Convert to fraction form
    284,846.76/393,087.96 = 163,944/x
  3. Step 3: Cross multiply
    284,846.76x = 393,087.96 × 163,944
  4. Step 4: Simplify right side
    284,846.76x = 64,444,412,514.24
  5. Step 5: Solve for x
    x = 64,444,412,514.24/284,846.76
  6. Step 6: Final answer
    x = 226,242.39

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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.