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Finding the Fourth Proportional to 352,394.61, 486,234.21 and 214,481.16

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Solution

The fourth proportional to 352,394.61, 486,234.21 and 214,481.16 is: 295,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,394.61 : 486,234.21 = 214,481.16 : x
  2. Step 2: Convert to fraction form
    352,394.61/486,234.21 = 214,481.16/x
  3. Step 3: Cross multiply
    352,394.61x = 486,234.21 × 214,481.16
  4. Step 4: Simplify right side
    352,394.61x = 104,288,077,392.48
  5. Step 5: Solve for x
    x = 104,288,077,392.48/352,394.61
  6. Step 6: Final answer
    x = 295,941.18

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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.