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Finding the Fourth Proportional to 295,901.82, 444,082.89 and 206,575.26

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Solution

The fourth proportional to 295,901.82, 444,082.89 and 206,575.26 is: 310,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,901.82 : 444,082.89 = 206,575.26 : x
  2. Step 2: Convert to fraction form
    295,901.82/444,082.89 = 206,575.26/x
  3. Step 3: Cross multiply
    295,901.82x = 444,082.89 × 206,575.26
  4. Step 4: Simplify right side
    295,901.82x = 91,736,538,463.30
  5. Step 5: Solve for x
    x = 91,736,538,463.30/295,901.82
  6. Step 6: Final answer
    x = 310,023.57

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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.