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Finding the Fourth Proportional to 367,892.22, 507,736.35 and 206,754.06

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Solution

The fourth proportional to 367,892.22, 507,736.35 and 206,754.06 is: 285,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,892.22 : 507,736.35 = 206,754.06 : x
  2. Step 2: Convert to fraction form
    367,892.22/507,736.35 = 206,754.06/x
  3. Step 3: Cross multiply
    367,892.22x = 507,736.35 × 206,754.06
  4. Step 4: Simplify right side
    367,892.22x = 104,976,551,772.08
  5. Step 5: Solve for x
    x = 104,976,551,772.08/367,892.22
  6. Step 6: Final answer
    x = 285,345.94

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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.