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Finding the Fourth Proportional to 299,015.16, 448,522.74 and 205,236.60

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Solution

The fourth proportional to 299,015.16, 448,522.74 and 205,236.60 is: 307,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,015.16 : 448,522.74 = 205,236.60 : x
  2. Step 2: Convert to fraction form
    299,015.16/448,522.74 = 205,236.60/x
  3. Step 3: Cross multiply
    299,015.16x = 448,522.74 × 205,236.60
  4. Step 4: Simplify right side
    299,015.16x = 92,053,282,180.28
  5. Step 5: Solve for x
    x = 92,053,282,180.28/299,015.16
  6. Step 6: Final answer
    x = 307,854.90

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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.