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Finding the Fourth Proportional to 523,177.38, 784,745.42 and 149,200.38

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Solution

The fourth proportional to 523,177.38, 784,745.42 and 149,200.38 is: 223,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,177.38 : 784,745.42 = 149,200.38 : x
  2. Step 2: Convert to fraction form
    523,177.38/784,745.42 = 149,200.38/x
  3. Step 3: Cross multiply
    523,177.38x = 784,745.42 × 149,200.38
  4. Step 4: Simplify right side
    523,177.38x = 117,084,314,121.26
  5. Step 5: Solve for x
    x = 117,084,314,121.26/523,177.38
  6. Step 6: Final answer
    x = 223,794.68

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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.