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Finding the Fourth Proportional to 417,678.54, 576,391.59 and 226,692.06

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Solution

The fourth proportional to 417,678.54, 576,391.59 and 226,692.06 is: 312,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,678.54 : 576,391.59 = 226,692.06 : x
  2. Step 2: Convert to fraction form
    417,678.54/576,391.59 = 226,692.06/x
  3. Step 3: Cross multiply
    417,678.54x = 576,391.59 × 226,692.06
  4. Step 4: Simplify right side
    417,678.54x = 130,663,396,903.78
  5. Step 5: Solve for x
    x = 130,663,396,903.78/417,678.54
  6. Step 6: Final answer
    x = 312,832.44

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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.