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Finding the Fourth Proportional to 471,537.24, 650,694.90 and 256,664.49

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Solution

The fourth proportional to 471,537.24, 650,694.90 and 256,664.49 is: 354,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,537.24 : 650,694.90 = 256,664.49 : x
  2. Step 2: Convert to fraction form
    471,537.24/650,694.90 = 256,664.49/x
  3. Step 3: Cross multiply
    471,537.24x = 650,694.90 × 256,664.49
  4. Step 4: Simplify right side
    471,537.24x = 167,010,274,654.10
  5. Step 5: Solve for x
    x = 167,010,274,654.10/471,537.24
  6. Step 6: Final answer
    x = 354,182.58

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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.