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Finding the Fourth Proportional to 342,474.16, 472,588.68 and 191,542

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Solution

The fourth proportional to 342,474.16, 472,588.68 and 191,542 is: 264,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,474.16 : 472,588.68 = 191,542 : x
  2. Step 2: Convert to fraction form
    342,474.16/472,588.68 = 191,542/x
  3. Step 3: Cross multiply
    342,474.16x = 472,588.68 × 191,542
  4. Step 4: Simplify right side
    342,474.16x = 90,520,580,944.56
  5. Step 5: Solve for x
    x = 90,520,580,944.56/342,474.16
  6. Step 6: Final answer
    x = 264,313.61

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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.