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Finding the Fourth Proportional to 471,718.44, 650,954.16 and 256,853.16

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Solution

The fourth proportional to 471,718.44, 650,954.16 and 256,853.16 is: 354,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,718.44 : 650,954.16 = 256,853.16 : x
  2. Step 2: Convert to fraction form
    471,718.44/650,954.16 = 256,853.16/x
  3. Step 3: Cross multiply
    471,718.44x = 650,954.16 × 256,853.16
  4. Step 4: Simplify right side
    471,718.44x = 167,199,633,011.15
  5. Step 5: Solve for x
    x = 167,199,633,011.15/471,718.44
  6. Step 6: Final answer
    x = 354,447.95

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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.