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Finding the Fourth Proportional to 299,741.11, 447,425.03 and 261,906.75

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Solution

The fourth proportional to 299,741.11, 447,425.03 and 261,906.75 is: 390,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,741.11 : 447,425.03 = 261,906.75 : x
  2. Step 2: Convert to fraction form
    299,741.11/447,425.03 = 261,906.75/x
  3. Step 3: Cross multiply
    299,741.11x = 447,425.03 × 261,906.75
  4. Step 4: Simplify right side
    299,741.11x = 117,183,636,130.72
  5. Step 5: Solve for x
    x = 117,183,636,130.72/299,741.11
  6. Step 6: Final answer
    x = 390,949.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.