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Finding the Fourth Proportional to 323,377.22, 484,698.01 and 196,738.31

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Solution

The fourth proportional to 323,377.22, 484,698.01 and 196,738.31 is: 294,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,377.22 : 484,698.01 = 196,738.31 : x
  2. Step 2: Convert to fraction form
    323,377.22/484,698.01 = 196,738.31/x
  3. Step 3: Cross multiply
    323,377.22x = 484,698.01 × 196,738.31
  4. Step 4: Simplify right side
    323,377.22x = 95,358,666,364.07
  5. Step 5: Solve for x
    x = 95,358,666,364.07/323,377.22
  6. Step 6: Final answer
    x = 294,883.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.