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Finding the Fourth Proportional to 409,414.70, 614,755.65 and 222,790.70

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Solution

The fourth proportional to 409,414.70, 614,755.65 and 222,790.70 is: 334,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,414.70 : 614,755.65 = 222,790.70 : x
  2. Step 2: Convert to fraction form
    409,414.70/614,755.65 = 222,790.70/x
  3. Step 3: Cross multiply
    409,414.70x = 614,755.65 × 222,790.70
  4. Step 4: Simplify right side
    409,414.70x = 136,961,841,592.46
  5. Step 5: Solve for x
    x = 136,961,841,592.46/409,414.70
  6. Step 6: Final answer
    x = 334,530.84

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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.