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Finding the Fourth Proportional to 303,853.87, 419,316.62 and 167,887.86

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Solution

The fourth proportional to 303,853.87, 419,316.62 and 167,887.86 is: 231,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,853.87 : 419,316.62 = 167,887.86 : x
  2. Step 2: Convert to fraction form
    303,853.87/419,316.62 = 167,887.86/x
  3. Step 3: Cross multiply
    303,853.87x = 419,316.62 × 167,887.86
  4. Step 4: Simplify right side
    303,853.87x = 70,398,169,994.23
  5. Step 5: Solve for x
    x = 70,398,169,994.23/303,853.87
  6. Step 6: Final answer
    x = 231,684.30

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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.