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Finding the Fourth Proportional to 397,270.80, 595,906.20 and 184,038.30

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Solution

The fourth proportional to 397,270.80, 595,906.20 and 184,038.30 is: 276,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,270.80 : 595,906.20 = 184,038.30 : x
  2. Step 2: Convert to fraction form
    397,270.80/595,906.20 = 184,038.30/x
  3. Step 3: Cross multiply
    397,270.80x = 595,906.20 × 184,038.30
  4. Step 4: Simplify right side
    397,270.80x = 109,669,564,007.46
  5. Step 5: Solve for x
    x = 109,669,564,007.46/397,270.80
  6. Step 6: Final answer
    x = 276,057.45

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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.