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Finding the Fourth Proportional to 303,702.43, 419,113.37 and 167,735.96

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Solution

The fourth proportional to 303,702.43, 419,113.37 and 167,735.96 is: 231,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,702.43 : 419,113.37 = 167,735.96 : x
  2. Step 2: Convert to fraction form
    303,702.43/419,113.37 = 167,735.96/x
  3. Step 3: Cross multiply
    303,702.43x = 419,113.37 × 167,735.96
  4. Step 4: Simplify right side
    303,702.43x = 70,300,382,627.11
  5. Step 5: Solve for x
    x = 70,300,382,627.11/303,702.43
  6. Step 6: Final answer
    x = 231,477.84

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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.