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Finding the Fourth Proportional to 417,780.64, 576,538.46 and 226,794.16

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Solution

The fourth proportional to 417,780.64, 576,538.46 and 226,794.16 is: 312,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,780.64 : 576,538.46 = 226,794.16 : x
  2. Step 2: Convert to fraction form
    417,780.64/576,538.46 = 226,794.16/x
  3. Step 3: Cross multiply
    417,780.64x = 576,538.46 × 226,794.16
  4. Step 4: Simplify right side
    417,780.64x = 130,755,555,743.39
  5. Step 5: Solve for x
    x = 130,755,555,743.39/417,780.64
  6. Step 6: Final answer
    x = 312,976.58

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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.