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Finding the Fourth Proportional to 299,069.89, 412,483.20 and 191,649.92

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Solution

The fourth proportional to 299,069.89, 412,483.20 and 191,649.92 is: 264,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,069.89 : 412,483.20 = 191,649.92 : x
  2. Step 2: Convert to fraction form
    299,069.89/412,483.20 = 191,649.92/x
  3. Step 3: Cross multiply
    299,069.89x = 412,483.20 × 191,649.92
  4. Step 4: Simplify right side
    299,069.89x = 79,052,369,500.24
  5. Step 5: Solve for x
    x = 79,052,369,500.24/299,069.89
  6. Step 6: Final answer
    x = 264,327.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.