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Finding the Fourth Proportional to 397,274.80, 595,912.20 and 184,042.30

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Solution

The fourth proportional to 397,274.80, 595,912.20 and 184,042.30 is: 276,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,274.80 : 595,912.20 = 184,042.30 : x
  2. Step 2: Convert to fraction form
    397,274.80/595,912.20 = 184,042.30/x
  3. Step 3: Cross multiply
    397,274.80x = 595,912.20 × 184,042.30
  4. Step 4: Simplify right side
    397,274.80x = 109,673,051,886.06
  5. Step 5: Solve for x
    x = 109,673,051,886.06/397,274.80
  6. Step 6: Final answer
    x = 276,063.45

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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.