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Finding the Fourth Proportional to 381,651.40, 572,016.30 and 194,566.60

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Solution

The fourth proportional to 381,651.40, 572,016.30 and 194,566.60 is: 291,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,651.40 : 572,016.30 = 194,566.60 : x
  2. Step 2: Convert to fraction form
    381,651.40/572,016.30 = 194,566.60/x
  3. Step 3: Cross multiply
    381,651.40x = 572,016.30 × 194,566.60
  4. Step 4: Simplify right side
    381,651.40x = 111,295,266,635.58
  5. Step 5: Solve for x
    x = 111,295,266,635.58/381,651.40
  6. Step 6: Final answer
    x = 291,614.98

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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.