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Finding the Fourth Proportional to 342,446.16, 472,550.04 and 191,514

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Solution

The fourth proportional to 342,446.16, 472,550.04 and 191,514 is: 264,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,446.16 : 472,550.04 = 191,514 : x
  2. Step 2: Convert to fraction form
    342,446.16/472,550.04 = 191,514/x
  3. Step 3: Cross multiply
    342,446.16x = 472,550.04 × 191,514
  4. Step 4: Simplify right side
    342,446.16x = 90,499,948,360.56
  5. Step 5: Solve for x
    x = 90,499,948,360.56/342,446.16
  6. Step 6: Final answer
    x = 264,274.97

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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.