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Finding the Fourth Proportional to 342,189.77, 472,224.90 and 189,238.23

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Solution

The fourth proportional to 342,189.77, 472,224.90 and 189,238.23 is: 261,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,189.77 : 472,224.90 = 189,238.23 : x
  2. Step 2: Convert to fraction form
    342,189.77/472,224.90 = 189,238.23/x
  3. Step 3: Cross multiply
    342,189.77x = 472,224.90 × 189,238.23
  4. Step 4: Simplify right side
    342,189.77x = 89,363,004,237.93
  5. Step 5: Solve for x
    x = 89,363,004,237.93/342,189.77
  6. Step 6: Final answer
    x = 261,150.43

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1.5x scale

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.