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Finding the Fourth Proportional to 417,699.29, 576,423.56 and 226,712.68

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Solution

The fourth proportional to 417,699.29, 576,423.56 and 226,712.68 is: 312,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,699.29 : 576,423.56 = 226,712.68 : x
  2. Step 2: Convert to fraction form
    417,699.29/576,423.56 = 226,712.68/x
  3. Step 3: Cross multiply
    417,699.29x = 576,423.56 × 226,712.68
  4. Step 4: Simplify right side
    417,699.29x = 130,682,530,102.74
  5. Step 5: Solve for x
    x = 130,682,530,102.74/417,699.29
  6. Step 6: Final answer
    x = 312,862.71

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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.