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Finding the Fourth Proportional to 367,896.33, 507,698.82 and 214,943.22

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Solution

The fourth proportional to 367,896.33, 507,698.82 and 214,943.22 is: 296,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,896.33 : 507,698.82 = 214,943.22 : x
  2. Step 2: Convert to fraction form
    367,896.33/507,698.82 = 214,943.22/x
  3. Step 3: Cross multiply
    367,896.33x = 507,698.82 × 214,943.22
  4. Step 4: Simplify right side
    367,896.33x = 109,126,419,161.00
  5. Step 5: Solve for x
    x = 109,126,419,161.00/367,896.33
  6. Step 6: Final answer
    x = 296,622.74

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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.