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Finding the Fourth Proportional to 392,804.24, 589,244.42 and 156,093.89

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Solution

The fourth proportional to 392,804.24, 589,244.42 and 156,093.89 is: 234,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,804.24 : 589,244.42 = 156,093.89 : x
  2. Step 2: Convert to fraction form
    392,804.24/589,244.42 = 156,093.89/x
  3. Step 3: Cross multiply
    392,804.24x = 589,244.42 × 156,093.89
  4. Step 4: Simplify right side
    392,804.24x = 91,977,451,122.61
  5. Step 5: Solve for x
    x = 91,977,451,122.61/392,804.24
  6. Step 6: Final answer
    x = 234,155.96

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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.