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Finding the Fourth Proportional to 461,045, 691,839.74 and 194,788.36

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Solution

The fourth proportional to 461,045, 691,839.74 and 194,788.36 is: 292,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,045 : 691,839.74 = 194,788.36 : x
  2. Step 2: Convert to fraction form
    461,045/691,839.74 = 194,788.36/x
  3. Step 3: Cross multiply
    461,045x = 691,839.74 × 194,788.36
  4. Step 4: Simplify right side
    461,045x = 134,762,328,337.43
  5. Step 5: Solve for x
    x = 134,762,328,337.43/461,045
  6. Step 6: Final answer
    x = 292,297.56

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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.