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Finding the Fourth Proportional to 442,914.70, 664,372.05 and 307,612.30

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Solution

The fourth proportional to 442,914.70, 664,372.05 and 307,612.30 is: 461,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,914.70 : 664,372.05 = 307,612.30 : x
  2. Step 2: Convert to fraction form
    442,914.70/664,372.05 = 307,612.30/x
  3. Step 3: Cross multiply
    442,914.70x = 664,372.05 × 307,612.30
  4. Step 4: Simplify right side
    442,914.70x = 204,369,014,356.22
  5. Step 5: Solve for x
    x = 204,369,014,356.22/442,914.70
  6. Step 6: Final answer
    x = 461,418.45

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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.