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Finding the Fourth Proportional to 318,099.54, 477,149.50 and 149,496.16

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Solution

The fourth proportional to 318,099.54, 477,149.50 and 149,496.16 is: 224,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,099.54 : 477,149.50 = 149,496.16 : x
  2. Step 2: Convert to fraction form
    318,099.54/477,149.50 = 149,496.16/x
  3. Step 3: Cross multiply
    318,099.54x = 477,149.50 × 149,496.16
  4. Step 4: Simplify right side
    318,099.54x = 71,332,017,995.92
  5. Step 5: Solve for x
    x = 71,332,017,995.92/318,099.54
  6. Step 6: Final answer
    x = 224,244.33

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1.5x scale

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.