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Finding the Fourth Proportional to 417,700.29, 576,424.94 and 226,713.68

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Solution

The fourth proportional to 417,700.29, 576,424.94 and 226,713.68 is: 312,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,700.29 : 576,424.94 = 226,713.68 : x
  2. Step 2: Convert to fraction form
    417,700.29/576,424.94 = 226,713.68/x
  3. Step 3: Cross multiply
    417,700.29x = 576,424.94 × 226,713.68
  4. Step 4: Simplify right side
    417,700.29x = 130,683,419,391.18
  5. Step 5: Solve for x
    x = 130,683,419,391.18/417,700.29
  6. Step 6: Final answer
    x = 312,864.09

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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.