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Finding the Fourth Proportional to 271,649.15, 407,900.21 and 230,074.28

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Solution

The fourth proportional to 271,649.15, 407,900.21 and 230,074.28 is: 345,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,649.15 : 407,900.21 = 230,074.28 : x
  2. Step 2: Convert to fraction form
    271,649.15/407,900.21 = 230,074.28/x
  3. Step 3: Cross multiply
    271,649.15x = 407,900.21 × 230,074.28
  4. Step 4: Simplify right side
    271,649.15x = 93,847,343,937.73
  5. Step 5: Solve for x
    x = 93,847,343,937.73/271,649.15
  6. Step 6: Final answer
    x = 345,472.63

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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.