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Finding the Fourth Proportional to 461,049.66, 691,408.13 and 194,830.74

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Solution

The fourth proportional to 461,049.66, 691,408.13 and 194,830.74 is: 292,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,049.66 : 691,408.13 = 194,830.74 : x
  2. Step 2: Convert to fraction form
    461,049.66/691,408.13 = 194,830.74/x
  3. Step 3: Cross multiply
    461,049.66x = 691,408.13 × 194,830.74
  4. Step 4: Simplify right side
    461,049.66x = 134,707,556,635.76
  5. Step 5: Solve for x
    x = 134,707,556,635.76/461,049.66
  6. Step 6: Final answer
    x = 292,175.81

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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.