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Finding the Fourth Proportional to 384,093.70, 575,815.22 and 159,313.84

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Solution

The fourth proportional to 384,093.70, 575,815.22 and 159,313.84 is: 238,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,093.70 : 575,815.22 = 159,313.84 : x
  2. Step 2: Convert to fraction form
    384,093.70/575,815.22 = 159,313.84/x
  3. Step 3: Cross multiply
    384,093.70x = 575,815.22 × 159,313.84
  4. Step 4: Simplify right side
    384,093.70x = 91,735,331,592.54
  5. Step 5: Solve for x
    x = 91,735,331,592.54/384,093.70
  6. Step 6: Final answer
    x = 238,835.82

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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.