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Finding the Fourth Proportional to 284,894.70, 392,769.96 and 182,742.82

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Solution

The fourth proportional to 284,894.70, 392,769.96 and 182,742.82 is: 251,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,894.70 : 392,769.96 = 182,742.82 : x
  2. Step 2: Convert to fraction form
    284,894.70/392,769.96 = 182,742.82/x
  3. Step 3: Cross multiply
    284,894.70x = 392,769.96 × 182,742.82
  4. Step 4: Simplify right side
    284,894.70x = 71,775,890,101.69
  5. Step 5: Solve for x
    x = 71,775,890,101.69/284,894.70
  6. Step 6: Final answer
    x = 251,938.31

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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.