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Finding the Fourth Proportional to 417,443.13, 576,071.26 and 226,456.54

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Solution

The fourth proportional to 417,443.13, 576,071.26 and 226,456.54 is: 312,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,443.13 : 576,071.26 = 226,456.54 : x
  2. Step 2: Convert to fraction form
    417,443.13/576,071.26 = 226,456.54/x
  3. Step 3: Cross multiply
    417,443.13x = 576,071.26 × 226,456.54
  4. Step 4: Simplify right side
    417,443.13x = 130,455,102,326.72
  5. Step 5: Solve for x
    x = 130,455,102,326.72/417,443.13
  6. Step 6: Final answer
    x = 312,509.88

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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.