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Finding the Fourth Proportional to 340,454.24, 469,478.40 and 225,692.96

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Solution

The fourth proportional to 340,454.24, 469,478.40 and 225,692.96 is: 311,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,454.24 : 469,478.40 = 225,692.96 : x
  2. Step 2: Convert to fraction form
    340,454.24/469,478.40 = 225,692.96/x
  3. Step 3: Cross multiply
    340,454.24x = 469,478.40 × 225,692.96
  4. Step 4: Simplify right side
    340,454.24x = 105,957,969,752.06
  5. Step 5: Solve for x
    x = 105,957,969,752.06/340,454.24
  6. Step 6: Final answer
    x = 311,225.29

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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.