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Finding the Fourth Proportional to 299,016.16, 448,524.22 and 205,237.60

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Solution

The fourth proportional to 299,016.16, 448,524.22 and 205,237.60 is: 307,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,016.16 : 448,524.22 = 205,237.60 : x
  2. Step 2: Convert to fraction form
    299,016.16/448,524.22 = 205,237.60/x
  3. Step 3: Cross multiply
    299,016.16x = 448,524.22 × 205,237.60
  4. Step 4: Simplify right side
    299,016.16x = 92,054,034,454.67
  5. Step 5: Solve for x
    x = 92,054,034,454.67/299,016.16
  6. Step 6: Final answer
    x = 307,856.39

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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.