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Finding the Fourth Proportional to 299,014.66, 448,521.97 and 205,236.10

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Solution

The fourth proportional to 299,014.66, 448,521.97 and 205,236.10 is: 307,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,014.66 : 448,521.97 = 205,236.10 : x
  2. Step 2: Convert to fraction form
    299,014.66/448,521.97 = 205,236.10/x
  3. Step 3: Cross multiply
    299,014.66x = 448,521.97 × 205,236.10
  4. Step 4: Simplify right side
    299,014.66x = 92,052,899,887.12
  5. Step 5: Solve for x
    x = 92,052,899,887.12/299,014.66
  6. Step 6: Final answer
    x = 307,854.14

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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.