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Finding the Fourth Proportional to 299,424.60, 449,136.90 and 277,773.30

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Solution

The fourth proportional to 299,424.60, 449,136.90 and 277,773.30 is: 416,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,424.60 : 449,136.90 = 277,773.30 : x
  2. Step 2: Convert to fraction form
    299,424.60/449,136.90 = 277,773.30/x
  3. Step 3: Cross multiply
    299,424.60x = 449,136.90 × 277,773.30
  4. Step 4: Simplify right side
    299,424.60x = 124,758,238,864.77
  5. Step 5: Solve for x
    x = 124,758,238,864.77/299,424.60
  6. Step 6: Final answer
    x = 416,659.95

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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.