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Finding the Fourth Proportional to 471,552.48, 650,743.92 and 256,694.40

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Solution

The fourth proportional to 471,552.48, 650,743.92 and 256,694.40 is: 354,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,552.48 : 650,743.92 = 256,694.40 : x
  2. Step 2: Convert to fraction form
    471,552.48/650,743.92 = 256,694.40/x
  3. Step 3: Cross multiply
    471,552.48x = 650,743.92 × 256,694.40
  4. Step 4: Simplify right side
    471,552.48x = 167,042,320,098.05
  5. Step 5: Solve for x
    x = 167,042,320,098.05/471,552.48
  6. Step 6: Final answer
    x = 354,239.09

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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.