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Finding the Fourth Proportional to 275,534.24, 412,906.64 and 156,960.72

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Solution

The fourth proportional to 275,534.24, 412,906.64 and 156,960.72 is: 235,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,534.24 : 412,906.64 = 156,960.72 : x
  2. Step 2: Convert to fraction form
    275,534.24/412,906.64 = 156,960.72/x
  3. Step 3: Cross multiply
    275,534.24x = 412,906.64 × 156,960.72
  4. Step 4: Simplify right side
    275,534.24x = 64,810,123,507.18
  5. Step 5: Solve for x
    x = 64,810,123,507.18/275,534.24
  6. Step 6: Final answer
    x = 235,216.22

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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.