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Finding the Fourth Proportional to 299,670.44, 449,347.70 and 204,927.50

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Solution

The fourth proportional to 299,670.44, 449,347.70 and 204,927.50 is: 307,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,670.44 : 449,347.70 = 204,927.50 : x
  2. Step 2: Convert to fraction form
    299,670.44/449,347.70 = 204,927.50/x
  3. Step 3: Cross multiply
    299,670.44x = 449,347.70 × 204,927.50
  4. Step 4: Simplify right side
    299,670.44x = 92,083,702,427.44
  5. Step 5: Solve for x
    x = 92,083,702,427.44/299,670.44
  6. Step 6: Final answer
    x = 307,283.24

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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.