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Finding the Fourth Proportional to 329,031.22, 454,029.42 and 191,188.66

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Solution

The fourth proportional to 329,031.22, 454,029.42 and 191,188.66 is: 263,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,031.22 : 454,029.42 = 191,188.66 : x
  2. Step 2: Convert to fraction form
    329,031.22/454,029.42 = 191,188.66/x
  3. Step 3: Cross multiply
    329,031.22x = 454,029.42 × 191,188.66
  4. Step 4: Simplify right side
    329,031.22x = 86,805,276,410.38
  5. Step 5: Solve for x
    x = 86,805,276,410.38/329,031.22
  6. Step 6: Final answer
    x = 263,820.79

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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.