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Finding the Fourth Proportional to 301,096.20, 451,572.30 and 174,462.60

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Solution

The fourth proportional to 301,096.20, 451,572.30 and 174,462.60 is: 261,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,096.20 : 451,572.30 = 174,462.60 : x
  2. Step 2: Convert to fraction form
    301,096.20/451,572.30 = 174,462.60/x
  3. Step 3: Cross multiply
    301,096.20x = 451,572.30 × 174,462.60
  4. Step 4: Simplify right side
    301,096.20x = 78,782,477,545.98
  5. Step 5: Solve for x
    x = 78,782,477,545.98/301,096.20
  6. Step 6: Final answer
    x = 261,652.18

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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.