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Finding the Fourth Proportional to 299,216.22, 448,396.65 and 219,706.62

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Solution

The fourth proportional to 299,216.22, 448,396.65 and 219,706.62 is: 329,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,216.22 : 448,396.65 = 219,706.62 : x
  2. Step 2: Convert to fraction form
    299,216.22/448,396.65 = 219,706.62/x
  3. Step 3: Cross multiply
    299,216.22x = 448,396.65 × 219,706.62
  4. Step 4: Simplify right side
    299,216.22x = 98,515,712,390.82
  5. Step 5: Solve for x
    x = 98,515,712,390.82/299,216.22
  6. Step 6: Final answer
    x = 329,245.90

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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.