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Finding the Fourth Proportional to 442,858.70, 664,288.05 and 418,364.30

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Solution

The fourth proportional to 442,858.70, 664,288.05 and 418,364.30 is: 627,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,858.70 : 664,288.05 = 418,364.30 : x
  2. Step 2: Convert to fraction form
    442,858.70/664,288.05 = 418,364.30/x
  3. Step 3: Cross multiply
    442,858.70x = 664,288.05 × 418,364.30
  4. Step 4: Simplify right side
    442,858.70x = 277,914,405,036.62
  5. Step 5: Solve for x
    x = 277,914,405,036.62/442,858.70
  6. Step 6: Final answer
    x = 627,546.45

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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.