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Finding the Fourth Proportional to 656,578.70, 984,321.30 and 277,790.30

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Solution

The fourth proportional to 656,578.70, 984,321.30 and 277,790.30 is: 416,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,578.70 : 984,321.30 = 277,790.30 : x
  2. Step 2: Convert to fraction form
    656,578.70/984,321.30 = 277,790.30/x
  3. Step 3: Cross multiply
    656,578.70x = 984,321.30 × 277,790.30
  4. Step 4: Simplify right side
    656,578.70x = 273,434,909,223.39
  5. Step 5: Solve for x
    x = 273,434,909,223.39/656,578.70
  6. Step 6: Final answer
    x = 416,454.13

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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.