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Finding the Fourth Proportional to 367,608.22, 507,301.37 and 206,463.29

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Solution

The fourth proportional to 367,608.22, 507,301.37 and 206,463.29 is: 284,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,608.22 : 507,301.37 = 206,463.29 : x
  2. Step 2: Convert to fraction form
    367,608.22/507,301.37 = 206,463.29/x
  3. Step 3: Cross multiply
    367,608.22x = 507,301.37 × 206,463.29
  4. Step 4: Simplify right side
    367,608.22x = 104,739,106,302.88
  5. Step 5: Solve for x
    x = 104,739,106,302.88/367,608.22
  6. Step 6: Final answer
    x = 284,920.47

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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.