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Finding the Fourth Proportional to 356,098.12, 491,415.50 and 194,963.40

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Solution

The fourth proportional to 356,098.12, 491,415.50 and 194,963.40 is: 269,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,098.12 : 491,415.50 = 194,963.40 : x
  2. Step 2: Convert to fraction form
    356,098.12/491,415.50 = 194,963.40/x
  3. Step 3: Cross multiply
    356,098.12x = 491,415.50 × 194,963.40
  4. Step 4: Simplify right side
    356,098.12x = 95,808,036,692.70
  5. Step 5: Solve for x
    x = 95,808,036,692.70/356,098.12
  6. Step 6: Final answer
    x = 269,049.54

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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.