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Finding the Fourth Proportional to 854,782.80, 1,282,174.20 and 412,414.80

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Solution

The fourth proportional to 854,782.80, 1,282,174.20 and 412,414.80 is: 618,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,782.80 : 1,282,174.20 = 412,414.80 : x
  2. Step 2: Convert to fraction form
    854,782.80/1,282,174.20 = 412,414.80/x
  3. Step 3: Cross multiply
    854,782.80x = 1,282,174.20 × 412,414.80
  4. Step 4: Simplify right side
    854,782.80x = 528,787,616,258.16
  5. Step 5: Solve for x
    x = 528,787,616,258.16/854,782.80
  6. Step 6: Final answer
    x = 618,622.20

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1.5x scale

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.