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Finding the Fourth Proportional to 397,793.84, 595,741.01 and 228,959.28

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Solution

The fourth proportional to 397,793.84, 595,741.01 and 228,959.28 is: 342,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,793.84 : 595,741.01 = 228,959.28 : x
  2. Step 2: Convert to fraction form
    397,793.84/595,741.01 = 228,959.28/x
  3. Step 3: Cross multiply
    397,793.84x = 595,741.01 × 228,959.28
  4. Step 4: Simplify right side
    397,793.84x = 136,400,431,571.28
  5. Step 5: Solve for x
    x = 136,400,431,571.28/397,793.84
  6. Step 6: Final answer
    x = 342,892.27

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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.