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Finding the Fourth Proportional to 506,297.80, 759,447.42 and 206,778.43

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Solution

The fourth proportional to 506,297.80, 759,447.42 and 206,778.43 is: 310,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,297.80 : 759,447.42 = 206,778.43 : x
  2. Step 2: Convert to fraction form
    506,297.80/759,447.42 = 206,778.43/x
  3. Step 3: Cross multiply
    506,297.80x = 759,447.42 × 206,778.43
  4. Step 4: Simplify right side
    506,297.80x = 157,037,345,175.15
  5. Step 5: Solve for x
    x = 157,037,345,175.15/506,297.80
  6. Step 6: Final answer
    x = 310,167.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.