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Finding the Fourth Proportional to 417,947.21, 576,762.09 and 226,961.96

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Solution

The fourth proportional to 417,947.21, 576,762.09 and 226,961.96 is: 313,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,947.21 : 576,762.09 = 226,961.96 : x
  2. Step 2: Convert to fraction form
    417,947.21/576,762.09 = 226,961.96/x
  3. Step 3: Cross multiply
    417,947.21x = 576,762.09 × 226,961.96
  4. Step 4: Simplify right side
    417,947.21x = 130,903,054,400.10
  5. Step 5: Solve for x
    x = 130,903,054,400.10/417,947.21
  6. Step 6: Final answer
    x = 313,204.76

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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.