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Finding the Fourth Proportional to 303,847.68, 419,302.80 and 167,874.60

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Solution

The fourth proportional to 303,847.68, 419,302.80 and 167,874.60 is: 231,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,847.68 : 419,302.80 = 167,874.60 : x
  2. Step 2: Convert to fraction form
    303,847.68/419,302.80 = 167,874.60/x
  3. Step 3: Cross multiply
    303,847.68x = 419,302.80 × 167,874.60
  4. Step 4: Simplify right side
    303,847.68x = 70,390,289,828.88
  5. Step 5: Solve for x
    x = 70,390,289,828.88/303,847.68
  6. Step 6: Final answer
    x = 231,663.08

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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.