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Finding the Fourth Proportional to 299,897.44, 449,916.50 and 205,172.22

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Solution

The fourth proportional to 299,897.44, 449,916.50 and 205,172.22 is: 307,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,897.44 : 449,916.50 = 205,172.22 : x
  2. Step 2: Convert to fraction form
    299,897.44/449,916.50 = 205,172.22/x
  3. Step 3: Cross multiply
    299,897.44x = 449,916.50 × 205,172.22
  4. Step 4: Simplify right side
    299,897.44x = 92,310,366,093.77
  5. Step 5: Solve for x
    x = 92,310,366,093.77/299,897.44
  6. Step 6: Final answer
    x = 307,806.45

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1.5x scale

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.