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Finding the Fourth Proportional to 417,692.90, 576,416.74 and 226,706.30

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Solution

The fourth proportional to 417,692.90, 576,416.74 and 226,706.30 is: 312,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,692.90 : 576,416.74 = 226,706.30 : x
  2. Step 2: Convert to fraction form
    417,692.90/576,416.74 = 226,706.30/x
  3. Step 3: Cross multiply
    417,692.90x = 576,416.74 × 226,706.30
  4. Step 4: Simplify right side
    417,692.90x = 130,677,306,383.46
  5. Step 5: Solve for x
    x = 130,677,306,383.46/417,692.90
  6. Step 6: Final answer
    x = 312,854.99

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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.