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Finding the Fourth Proportional to 471,568, 650,763.92 and 256,709.68

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Solution

The fourth proportional to 471,568, 650,763.92 and 256,709.68 is: 354,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,568 : 650,763.92 = 256,709.68 : x
  2. Step 2: Convert to fraction form
    471,568/650,763.92 = 256,709.68/x
  3. Step 3: Cross multiply
    471,568x = 650,763.92 × 256,709.68
  4. Step 4: Simplify right side
    471,568x = 167,057,397,658.75
  5. Step 5: Solve for x
    x = 167,057,397,658.75/471,568
  6. Step 6: Final answer
    x = 354,259.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.