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Finding the Fourth Proportional to 374,203.88, 516,401.86 and 213,059

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Solution

The fourth proportional to 374,203.88, 516,401.86 and 213,059 is: 294,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,203.88 : 516,401.86 = 213,059 : x
  2. Step 2: Convert to fraction form
    374,203.88/516,401.86 = 213,059/x
  3. Step 3: Cross multiply
    374,203.88x = 516,401.86 × 213,059
  4. Step 4: Simplify right side
    374,203.88x = 110,024,063,889.74
  5. Step 5: Solve for x
    x = 110,024,063,889.74/374,203.88
  6. Step 6: Final answer
    x = 294,021.71

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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.