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Finding the Fourth Proportional to 449,829.83, 674,779.62 and 150,311.48

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Solution

The fourth proportional to 449,829.83, 674,779.62 and 150,311.48 is: 225,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,829.83 : 674,779.62 = 150,311.48 : x
  2. Step 2: Convert to fraction form
    449,829.83/674,779.62 = 150,311.48/x
  3. Step 3: Cross multiply
    449,829.83x = 674,779.62 × 150,311.48
  4. Step 4: Simplify right side
    449,829.83x = 101,427,119,982.14
  5. Step 5: Solve for x
    x = 101,427,119,982.14/449,829.83
  6. Step 6: Final answer
    x = 225,478.87

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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.