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Finding the Fourth Proportional to 302,099.88, 416,881.80 and 174,777.60

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Solution

The fourth proportional to 302,099.88, 416,881.80 and 174,777.60 is: 241,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,099.88 : 416,881.80 = 174,777.60 : x
  2. Step 2: Convert to fraction form
    302,099.88/416,881.80 = 174,777.60/x
  3. Step 3: Cross multiply
    302,099.88x = 416,881.80 × 174,777.60
  4. Step 4: Simplify right side
    302,099.88x = 72,861,600,487.68
  5. Step 5: Solve for x
    x = 72,861,600,487.68/302,099.88
  6. Step 6: Final answer
    x = 241,183.81

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1.5x scale

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.