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Finding the Fourth Proportional to 314,976.70, 434,704.74 and 179,031.07

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Solution

The fourth proportional to 314,976.70, 434,704.74 and 179,031.07 is: 247,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,976.70 : 434,704.74 = 179,031.07 : x
  2. Step 2: Convert to fraction form
    314,976.70/434,704.74 = 179,031.07/x
  3. Step 3: Cross multiply
    314,976.70x = 434,704.74 × 179,031.07
  4. Step 4: Simplify right side
    314,976.70x = 77,825,654,736.27
  5. Step 5: Solve for x
    x = 77,825,654,736.27/314,976.70
  6. Step 6: Final answer
    x = 247,083.85

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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.