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Finding the Fourth Proportional to 442,946.70, 664,420.05 and 307,644.30

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Solution

The fourth proportional to 442,946.70, 664,420.05 and 307,644.30 is: 461,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,946.70 : 664,420.05 = 307,644.30 : x
  2. Step 2: Convert to fraction form
    442,946.70/664,420.05 = 307,644.30/x
  3. Step 3: Cross multiply
    442,946.70x = 664,420.05 × 307,644.30
  4. Step 4: Simplify right side
    442,946.70x = 204,405,041,188.22
  5. Step 5: Solve for x
    x = 204,405,041,188.22/442,946.70
  6. Step 6: Final answer
    x = 461,466.45

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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.