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Finding the Fourth Proportional to 471,695.13, 650,930.85 and 256,831.29

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Solution

The fourth proportional to 471,695.13, 650,930.85 and 256,831.29 is: 354,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,695.13 : 650,930.85 = 256,831.29 : x
  2. Step 2: Convert to fraction form
    471,695.13/650,930.85 = 256,831.29/x
  3. Step 3: Cross multiply
    471,695.13x = 650,930.85 × 256,831.29
  4. Step 4: Simplify right side
    471,695.13x = 167,179,409,906.30
  5. Step 5: Solve for x
    x = 167,179,409,906.30/471,695.13
  6. Step 6: Final answer
    x = 354,422.59

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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.