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Finding the Fourth Proportional to 654,336.68, 981,505.14 and 205,057.40

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Solution

The fourth proportional to 654,336.68, 981,505.14 and 205,057.40 is: 307,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,336.68 : 981,505.14 = 205,057.40 : x
  2. Step 2: Convert to fraction form
    654,336.68/981,505.14 = 205,057.40/x
  3. Step 3: Cross multiply
    654,336.68x = 981,505.14 × 205,057.40
  4. Step 4: Simplify right side
    654,336.68x = 201,264,892,095.04
  5. Step 5: Solve for x
    x = 201,264,892,095.04/654,336.68
  6. Step 6: Final answer
    x = 307,586.14

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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.