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Finding the Fourth Proportional to 277,622.40, 416,433.60 and 206,763.60

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Solution

The fourth proportional to 277,622.40, 416,433.60 and 206,763.60 is: 310,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,622.40 : 416,433.60 = 206,763.60 : x
  2. Step 2: Convert to fraction form
    277,622.40/416,433.60 = 206,763.60/x
  3. Step 3: Cross multiply
    277,622.40x = 416,433.60 × 206,763.60
  4. Step 4: Simplify right side
    277,622.40x = 86,103,310,296.96
  5. Step 5: Solve for x
    x = 86,103,310,296.96/277,622.40
  6. Step 6: Final answer
    x = 310,145.40

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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.