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Finding the Fourth Proportional to 397,761.40, 596,123.70 and 184,504.60

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Solution

The fourth proportional to 397,761.40, 596,123.70 and 184,504.60 is: 276,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,761.40 : 596,123.70 = 184,504.60 : x
  2. Step 2: Convert to fraction form
    397,761.40/596,123.70 = 184,504.60/x
  3. Step 3: Cross multiply
    397,761.40x = 596,123.70 × 184,504.60
  4. Step 4: Simplify right side
    397,761.40x = 109,987,564,819.02
  5. Step 5: Solve for x
    x = 109,987,564,819.02/397,761.40
  6. Step 6: Final answer
    x = 276,516.44

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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.