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Finding the Fourth Proportional to 654,355.46, 981,531.37 and 205,078.23

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Solution

The fourth proportional to 654,355.46, 981,531.37 and 205,078.23 is: 307,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,355.46 : 981,531.37 = 205,078.23 : x
  2. Step 2: Convert to fraction form
    654,355.46/981,531.37 = 205,078.23/x
  3. Step 3: Cross multiply
    654,355.46x = 981,531.37 × 205,078.23
  4. Step 4: Simplify right side
    654,355.46x = 201,290,716,305.42
  5. Step 5: Solve for x
    x = 201,290,716,305.42/654,355.46
  6. Step 6: Final answer
    x = 307,616.77

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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.