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Finding the Fourth Proportional to 414,493.96, 572,022.66 and 244,724.44

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Solution

The fourth proportional to 414,493.96, 572,022.66 and 244,724.44 is: 337,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,493.96 : 572,022.66 = 244,724.44 : x
  2. Step 2: Convert to fraction form
    414,493.96/572,022.66 = 244,724.44/x
  3. Step 3: Cross multiply
    414,493.96x = 572,022.66 × 244,724.44
  4. Step 4: Simplify right side
    414,493.96x = 139,987,925,135.81
  5. Step 5: Solve for x
    x = 139,987,925,135.81/414,493.96
  6. Step 6: Final answer
    x = 337,732.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.