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Finding the Fourth Proportional to 298,651.23, 448,042.38 and 219,525.57

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Solution

The fourth proportional to 298,651.23, 448,042.38 and 219,525.57 is: 329,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,651.23 : 448,042.38 = 219,525.57 : x
  2. Step 2: Convert to fraction form
    298,651.23/448,042.38 = 219,525.57/x
  3. Step 3: Cross multiply
    298,651.23x = 448,042.38 × 219,525.57
  4. Step 4: Simplify right side
    298,651.23x = 98,356,758,853.66
  5. Step 5: Solve for x
    x = 98,356,758,853.66/298,651.23
  6. Step 6: Final answer
    x = 329,336.53

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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.