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Finding the Fourth Proportional to 298,964.90, 448,224.15 and 180,611.30

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Solution

The fourth proportional to 298,964.90, 448,224.15 and 180,611.30 is: 270,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,964.90 : 448,224.15 = 180,611.30 : x
  2. Step 2: Convert to fraction form
    298,964.90/448,224.15 = 180,611.30/x
  3. Step 3: Cross multiply
    298,964.90x = 448,224.15 × 180,611.30
  4. Step 4: Simplify right side
    298,964.90x = 80,954,346,422.90
  5. Step 5: Solve for x
    x = 80,954,346,422.90/298,964.90
  6. Step 6: Final answer
    x = 270,782.11

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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.