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Finding the Fourth Proportional to 471,671.43, 650,918.26 and 256,823.27

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Solution

The fourth proportional to 471,671.43, 650,918.26 and 256,823.27 is: 354,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,671.43 : 650,918.26 = 256,823.27 : x
  2. Step 2: Convert to fraction form
    471,671.43/650,918.26 = 256,823.27/x
  3. Step 3: Cross multiply
    471,671.43x = 650,918.26 × 256,823.27
  4. Step 4: Simplify right side
    471,671.43x = 167,170,956,035.91
  5. Step 5: Solve for x
    x = 167,170,956,035.91/471,671.43
  6. Step 6: Final answer
    x = 354,422.48

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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.