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Finding the Fourth Proportional to 318,096.53, 477,300.45 and 149,633.86

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Solution

The fourth proportional to 318,096.53, 477,300.45 and 149,633.86 is: 224,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,096.53 : 477,300.45 = 149,633.86 : x
  2. Step 2: Convert to fraction form
    318,096.53/477,300.45 = 149,633.86/x
  3. Step 3: Cross multiply
    318,096.53x = 477,300.45 × 149,633.86
  4. Step 4: Simplify right side
    318,096.53x = 71,420,307,519.99
  5. Step 5: Solve for x
    x = 71,420,307,519.99/318,096.53
  6. Step 6: Final answer
    x = 224,524.01

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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.