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Finding the Fourth Proportional to 342,591, 472,763.50 and 189,629.48

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Solution

The fourth proportional to 342,591, 472,763.50 and 189,629.48 is: 261,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,591 : 472,763.50 = 189,629.48 : x
  2. Step 2: Convert to fraction form
    342,591/472,763.50 = 189,629.48/x
  3. Step 3: Cross multiply
    342,591x = 472,763.50 × 189,629.48
  4. Step 4: Simplify right side
    342,591x = 89,649,896,667.98
  5. Step 5: Solve for x
    x = 89,649,896,667.98/342,591
  6. Step 6: Final answer
    x = 261,682.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.