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Finding the Fourth Proportional to 409,135.20, 614,336.40 and 222,511.20

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Solution

The fourth proportional to 409,135.20, 614,336.40 and 222,511.20 is: 334,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,135.20 : 614,336.40 = 222,511.20 : x
  2. Step 2: Convert to fraction form
    409,135.20/614,336.40 = 222,511.20/x
  3. Step 3: Cross multiply
    409,135.20x = 614,336.40 × 222,511.20
  4. Step 4: Simplify right side
    409,135.20x = 136,696,729,567.68
  5. Step 5: Solve for x
    x = 136,696,729,567.68/409,135.20
  6. Step 6: Final answer
    x = 334,111.39

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