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Finding the Fourth Proportional to 442,997.70, 664,496.55 and 310,028.10

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Solution

The fourth proportional to 442,997.70, 664,496.55 and 310,028.10 is: 465,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,997.70 : 664,496.55 = 310,028.10 : x
  2. Step 2: Convert to fraction form
    442,997.70/664,496.55 = 310,028.10/x
  3. Step 3: Cross multiply
    442,997.70x = 664,496.55 × 310,028.10
  4. Step 4: Simplify right side
    442,997.70x = 206,012,602,853.06
  5. Step 5: Solve for x
    x = 206,012,602,853.06/442,997.70
  6. Step 6: Final answer
    x = 465,042.15

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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.