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Finding the Fourth Proportional to 307,597.25, 424,474.22 and 167,890.47

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Solution

The fourth proportional to 307,597.25, 424,474.22 and 167,890.47 is: 231,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,597.25 : 424,474.22 = 167,890.47 : x
  2. Step 2: Convert to fraction form
    307,597.25/424,474.22 = 167,890.47/x
  3. Step 3: Cross multiply
    307,597.25x = 424,474.22 × 167,890.47
  4. Step 4: Simplify right side
    307,597.25x = 71,265,177,514.30
  5. Step 5: Solve for x
    x = 71,265,177,514.30/307,597.25
  6. Step 6: Final answer
    x = 231,683.40

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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.