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Finding the Fourth Proportional to 493,051.69, 739,688.37 and 156,112.48

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Solution

The fourth proportional to 493,051.69, 739,688.37 and 156,112.48 is: 234,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,051.69 : 739,688.37 = 156,112.48 : x
  2. Step 2: Convert to fraction form
    493,051.69/739,688.37 = 156,112.48/x
  3. Step 3: Cross multiply
    493,051.69x = 739,688.37 × 156,112.48
  4. Step 4: Simplify right side
    493,051.69x = 115,474,581,388.85
  5. Step 5: Solve for x
    x = 115,474,581,388.85/493,051.69
  6. Step 6: Final answer
    x = 234,203.81

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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.