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Finding the Fourth Proportional to 303,838.83, 419,314.41 and 167,869.86

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Solution

The fourth proportional to 303,838.83, 419,314.41 and 167,869.86 is: 231,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,838.83 : 419,314.41 = 167,869.86 : x
  2. Step 2: Convert to fraction form
    303,838.83/419,314.41 = 167,869.86/x
  3. Step 3: Cross multiply
    303,838.83x = 419,314.41 × 167,869.86
  4. Step 4: Simplify right side
    303,838.83x = 70,390,250,463.33
  5. Step 5: Solve for x
    x = 70,390,250,463.33/303,838.83
  6. Step 6: Final answer
    x = 231,669.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.