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Finding the Fourth Proportional to 284,141.39, 392,165.96 and 169,427.43

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Solution

The fourth proportional to 284,141.39, 392,165.96 and 169,427.43 is: 233,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,141.39 : 392,165.96 = 169,427.43 : x
  2. Step 2: Convert to fraction form
    284,141.39/392,165.96 = 169,427.43/x
  3. Step 3: Cross multiply
    284,141.39x = 392,165.96 × 169,427.43
  4. Step 4: Simplify right side
    284,141.39x = 66,443,669,889.15
  5. Step 5: Solve for x
    x = 66,443,669,889.15/284,141.39
  6. Step 6: Final answer
    x = 233,840.17

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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.