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Finding the Fourth Proportional to 320,242.26, 479,974.97 and 235,214.01

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Solution

The fourth proportional to 320,242.26, 479,974.97 and 235,214.01 is: 352,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,242.26 : 479,974.97 = 235,214.01 : x
  2. Step 2: Convert to fraction form
    320,242.26/479,974.97 = 235,214.01/x
  3. Step 3: Cross multiply
    320,242.26x = 479,974.97 × 235,214.01
  4. Step 4: Simplify right side
    320,242.26x = 112,896,837,393.33
  5. Step 5: Solve for x
    x = 112,896,837,393.33/320,242.26
  6. Step 6: Final answer
    x = 352,535.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.