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Finding the Fourth Proportional to 284,894.37, 392,769.50 and 182,742.51

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Solution

The fourth proportional to 284,894.37, 392,769.50 and 182,742.51 is: 251,937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,894.37 : 392,769.50 = 182,742.51 : x
  2. Step 2: Convert to fraction form
    284,894.37/392,769.50 = 182,742.51/x
  3. Step 3: Cross multiply
    284,894.37x = 392,769.50 × 182,742.51
  4. Step 4: Simplify right side
    284,894.37x = 71,775,682,426.06
  5. Step 5: Solve for x
    x = 71,775,682,426.06/284,894.37
  6. Step 6: Final answer
    x = 251,937.88

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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.