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Finding the Fourth Proportional to 654,578.36, 981,857.66 and 294,494.91

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Solution

The fourth proportional to 654,578.36, 981,857.66 and 294,494.91 is: 441,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,578.36 : 981,857.66 = 294,494.91 : x
  2. Step 2: Convert to fraction form
    654,578.36/981,857.66 = 294,494.91/x
  3. Step 3: Cross multiply
    654,578.36x = 981,857.66 × 294,494.91
  4. Step 4: Simplify right side
    654,578.36x = 289,152,081,742.04
  5. Step 5: Solve for x
    x = 289,152,081,742.04/654,578.36
  6. Step 6: Final answer
    x = 441,737.92

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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.