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Finding the Fourth Proportional to 277,370.22, 416,078.57 and 77,690.44

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Solution

The fourth proportional to 277,370.22, 416,078.57 and 77,690.44 is: 116,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,370.22 : 416,078.57 = 77,690.44 : x
  2. Step 2: Convert to fraction form
    277,370.22/416,078.57 = 77,690.44/x
  3. Step 3: Cross multiply
    277,370.22x = 416,078.57 × 77,690.44
  4. Step 4: Simplify right side
    277,370.22x = 32,325,327,892.20
  5. Step 5: Solve for x
    x = 32,325,327,892.20/277,370.22
  6. Step 6: Final answer
    x = 116,542.17

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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.