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Finding the Fourth Proportional to 367,231.68, 506,782.44 and 206,090.28

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Solution

The fourth proportional to 367,231.68, 506,782.44 and 206,090.28 is: 284,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,231.68 : 506,782.44 = 206,090.28 : x
  2. Step 2: Convert to fraction form
    367,231.68/506,782.44 = 206,090.28/x
  3. Step 3: Cross multiply
    367,231.68x = 506,782.44 × 206,090.28
  4. Step 4: Simplify right side
    367,231.68x = 104,442,934,958.68
  5. Step 5: Solve for x
    x = 104,442,934,958.68/367,231.68
  6. Step 6: Final answer
    x = 284,406.11

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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.