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Finding the Fourth Proportional to 654,411.39, 981,588.53 and 205,122

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Solution

The fourth proportional to 654,411.39, 981,588.53 and 205,122 is: 307,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,411.39 : 981,588.53 = 205,122 : x
  2. Step 2: Convert to fraction form
    654,411.39/981,588.53 = 205,122/x
  3. Step 3: Cross multiply
    654,411.39x = 981,588.53 × 205,122
  4. Step 4: Simplify right side
    654,411.39x = 201,345,401,425.05
  5. Step 5: Solve for x
    x = 201,345,401,425.05/654,411.39
  6. Step 6: Final answer
    x = 307,674.05

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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.