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Finding the Fourth Proportional to 277,713.96, 416,290.44 and 109,352.44

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Solution

The fourth proportional to 277,713.96, 416,290.44 and 109,352.44 is: 163,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,713.96 : 416,290.44 = 109,352.44 : x
  2. Step 2: Convert to fraction form
    277,713.96/416,290.44 = 109,352.44/x
  3. Step 3: Cross multiply
    277,713.96x = 416,290.44 × 109,352.44
  4. Step 4: Simplify right side
    277,713.96x = 45,522,375,362.67
  5. Step 5: Solve for x
    x = 45,522,375,362.67/277,713.96
  6. Step 6: Final answer
    x = 163,918.21

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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.