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Finding the Fourth Proportional to 409,620.70, 565,279.36 and 228,344.14

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Solution

The fourth proportional to 409,620.70, 565,279.36 and 228,344.14 is: 315,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,620.70 : 565,279.36 = 228,344.14 : x
  2. Step 2: Convert to fraction form
    409,620.70/565,279.36 = 228,344.14/x
  3. Step 3: Cross multiply
    409,620.70x = 565,279.36 × 228,344.14
  4. Step 4: Simplify right side
    409,620.70x = 129,078,229,318.95
  5. Step 5: Solve for x
    x = 129,078,229,318.95/409,620.70
  6. Step 6: Final answer
    x = 315,116.47

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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.