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Finding the Fourth Proportional to 277,589.84, 416,298.69 and 100,073.88

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Solution

The fourth proportional to 277,589.84, 416,298.69 and 100,073.88 is: 150,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,589.84 : 416,298.69 = 100,073.88 : x
  2. Step 2: Convert to fraction form
    277,589.84/416,298.69 = 100,073.88/x
  3. Step 3: Cross multiply
    277,589.84x = 416,298.69 × 100,073.88
  4. Step 4: Simplify right side
    277,589.84x = 41,660,625,147.22
  5. Step 5: Solve for x
    x = 41,660,625,147.22/277,589.84
  6. Step 6: Final answer
    x = 150,079.79

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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.