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Finding the Fourth Proportional to 299,236, 448,951.20 and 209,371.36

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Solution

The fourth proportional to 299,236, 448,951.20 and 209,371.36 is: 314,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,236 : 448,951.20 = 209,371.36 : x
  2. Step 2: Convert to fraction form
    299,236/448,951.20 = 209,371.36/x
  3. Step 3: Cross multiply
    299,236x = 448,951.20 × 209,371.36
  4. Step 4: Simplify right side
    299,236x = 93,997,523,317.63
  5. Step 5: Solve for x
    x = 93,997,523,317.63/299,236
  6. Step 6: Final answer
    x = 314,125.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.