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Finding the Fourth Proportional to 654,324.13, 981,486.42 and 205,079.86

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Solution

The fourth proportional to 654,324.13, 981,486.42 and 205,079.86 is: 307,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,324.13 : 981,486.42 = 205,079.86 : x
  2. Step 2: Convert to fraction form
    654,324.13/981,486.42 = 205,079.86/x
  3. Step 3: Cross multiply
    654,324.13x = 981,486.42 × 205,079.86
  4. Step 4: Simplify right side
    654,324.13x = 201,283,097,605.50
  5. Step 5: Solve for x
    x = 201,283,097,605.50/654,324.13
  6. Step 6: Final answer
    x = 307,619.86

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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.