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Finding the Fourth Proportional to 654,564.96, 981,952.02 and 228,223.49

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Solution

The fourth proportional to 654,564.96, 981,952.02 and 228,223.49 is: 342,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,564.96 : 981,952.02 = 228,223.49 : x
  2. Step 2: Convert to fraction form
    654,564.96/981,952.02 = 228,223.49/x
  3. Step 3: Cross multiply
    654,564.96x = 981,952.02 × 228,223.49
  4. Step 4: Simplify right side
    654,564.96x = 224,104,512,107.19
  5. Step 5: Solve for x
    x = 224,104,512,107.19/654,564.96
  6. Step 6: Final answer
    x = 342,371.69

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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.