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Finding the Fourth Proportional to 654,266.95, 981,399.31 and 205,022.32

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Solution

The fourth proportional to 654,266.95, 981,399.31 and 205,022.32 is: 307,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,266.95 : 981,399.31 = 205,022.32 : x
  2. Step 2: Convert to fraction form
    654,266.95/981,399.31 = 205,022.32/x
  3. Step 3: Cross multiply
    654,266.95x = 981,399.31 × 205,022.32
  4. Step 4: Simplify right side
    654,266.95x = 201,208,760,416.55
  5. Step 5: Solve for x
    x = 201,208,760,416.55/654,266.95
  6. Step 6: Final answer
    x = 307,533.13

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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.