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Finding the Fourth Proportional to 469,777.26, 704,640.73 and 166,150.38

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Solution

The fourth proportional to 469,777.26, 704,640.73 and 166,150.38 is: 249,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,777.26 : 704,640.73 = 166,150.38 : x
  2. Step 2: Convert to fraction form
    469,777.26/704,640.73 = 166,150.38/x
  3. Step 3: Cross multiply
    469,777.26x = 704,640.73 × 166,150.38
  4. Step 4: Simplify right side
    469,777.26x = 117,076,325,052.98
  5. Step 5: Solve for x
    x = 117,076,325,052.98/469,777.26
  6. Step 6: Final answer
    x = 249,216.67

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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.