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Finding the Fourth Proportional to 342,474.48, 472,615.56 and 189,523.80

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Solution

The fourth proportional to 342,474.48, 472,615.56 and 189,523.80 is: 261,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,474.48 : 472,615.56 = 189,523.80 : x
  2. Step 2: Convert to fraction form
    342,474.48/472,615.56 = 189,523.80/x
  3. Step 3: Cross multiply
    342,474.48x = 472,615.56 × 189,523.80
  4. Step 4: Simplify right side
    342,474.48x = 89,571,896,870.33
  5. Step 5: Solve for x
    x = 89,571,896,870.33/342,474.48
  6. Step 6: Final answer
    x = 261,543.27

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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.