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Finding the Fourth Proportional to 676,006.46, 1,013,978.92 and 226,692.78

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Solution

The fourth proportional to 676,006.46, 1,013,978.92 and 226,692.78 is: 340,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,006.46 : 1,013,978.92 = 226,692.78 : x
  2. Step 2: Convert to fraction form
    676,006.46/1,013,978.92 = 226,692.78/x
  3. Step 3: Cross multiply
    676,006.46x = 1,013,978.92 × 226,692.78
  4. Step 4: Simplify right side
    676,006.46x = 229,861,700,236.20
  5. Step 5: Solve for x
    x = 229,861,700,236.20/676,006.46
  6. Step 6: Final answer
    x = 340,028.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.