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Finding the Fourth Proportional to 417,624.81, 576,322.62 and 226,638.21

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Solution

The fourth proportional to 417,624.81, 576,322.62 and 226,638.21 is: 312,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,624.81 : 576,322.62 = 226,638.21 : x
  2. Step 2: Convert to fraction form
    417,624.81/576,322.62 = 226,638.21/x
  3. Step 3: Cross multiply
    417,624.81x = 576,322.62 × 226,638.21
  4. Step 4: Simplify right side
    417,624.81x = 130,616,726,979.31
  5. Step 5: Solve for x
    x = 130,616,726,979.31/417,624.81
  6. Step 6: Final answer
    x = 312,760.94

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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.