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Finding the Fourth Proportional to 417,704.06, 576,416.16 and 226,713.36

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Solution

The fourth proportional to 417,704.06, 576,416.16 and 226,713.36 is: 312,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,704.06 : 576,416.16 = 226,713.36 : x
  2. Step 2: Convert to fraction form
    417,704.06/576,416.16 = 226,713.36/x
  3. Step 3: Cross multiply
    417,704.06x = 576,416.16 × 226,713.36
  4. Step 4: Simplify right side
    417,704.06x = 130,681,244,391.90
  5. Step 5: Solve for x
    x = 130,681,244,391.90/417,704.06
  6. Step 6: Final answer
    x = 312,856.06

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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.