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Finding the Fourth Proportional to 367,102.74, 506,609.56 and 205,969.44

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Solution

The fourth proportional to 367,102.74, 506,609.56 and 205,969.44 is: 284,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,102.74 : 506,609.56 = 205,969.44 : x
  2. Step 2: Convert to fraction form
    367,102.74/506,609.56 = 205,969.44/x
  3. Step 3: Cross multiply
    367,102.74x = 506,609.56 × 205,969.44
  4. Step 4: Simplify right side
    367,102.74x = 104,346,087,371.85
  5. Step 5: Solve for x
    x = 104,346,087,371.85/367,102.74
  6. Step 6: Final answer
    x = 284,242.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.