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Finding the Fourth Proportional to 417,845.29, 576,626.47 and 226,858.70

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Solution

The fourth proportional to 417,845.29, 576,626.47 and 226,858.70 is: 313,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,845.29 : 576,626.47 = 226,858.70 : x
  2. Step 2: Convert to fraction form
    417,845.29/576,626.47 = 226,858.70/x
  3. Step 3: Cross multiply
    417,845.29x = 576,626.47 × 226,858.70
  4. Step 4: Simplify right side
    417,845.29x = 130,812,731,369.79
  5. Step 5: Solve for x
    x = 130,812,731,369.79/417,845.29
  6. Step 6: Final answer
    x = 313,064.99

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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.