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Finding the Fourth Proportional to 356,138.04, 491,451.72 and 194,962.20

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Solution

The fourth proportional to 356,138.04, 491,451.72 and 194,962.20 is: 269,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,138.04 : 491,451.72 = 194,962.20 : x
  2. Step 2: Convert to fraction form
    356,138.04/491,451.72 = 194,962.20/x
  3. Step 3: Cross multiply
    356,138.04x = 491,451.72 × 194,962.20
  4. Step 4: Simplify right side
    356,138.04x = 95,814,508,524.98
  5. Step 5: Solve for x
    x = 95,814,508,524.98/356,138.04
  6. Step 6: Final answer
    x = 269,037.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.