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Finding the Fourth Proportional to 417,493.14, 576,141.57 and 226,506.48

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Solution

The fourth proportional to 417,493.14, 576,141.57 and 226,506.48 is: 312,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,493.14 : 576,141.57 = 226,506.48 : x
  2. Step 2: Convert to fraction form
    417,493.14/576,141.57 = 226,506.48/x
  3. Step 3: Cross multiply
    417,493.14x = 576,141.57 × 226,506.48
  4. Step 4: Simplify right side
    417,493.14x = 130,499,799,002.37
  5. Step 5: Solve for x
    x = 130,499,799,002.37/417,493.14
  6. Step 6: Final answer
    x = 312,579.50

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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.