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Finding the Fourth Proportional to 417,733.76, 576,473.28 and 226,747.10

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Solution

The fourth proportional to 417,733.76, 576,473.28 and 226,747.10 is: 312,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,733.76 : 576,473.28 = 226,747.10 : x
  2. Step 2: Convert to fraction form
    417,733.76/576,473.28 = 226,747.10/x
  3. Step 3: Cross multiply
    417,733.76x = 576,473.28 × 226,747.10
  4. Step 4: Simplify right side
    417,733.76x = 130,713,644,467.49
  5. Step 5: Solve for x
    x = 130,713,644,467.49/417,733.76
  6. Step 6: Final answer
    x = 312,911.37

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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.