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Finding the Fourth Proportional to 364,770, 547,157.43 and 115,452

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Solution

The fourth proportional to 364,770, 547,157.43 and 115,452 is: 173,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,770 : 547,157.43 = 115,452 : x
  2. Step 2: Convert to fraction form
    364,770/547,157.43 = 115,452/x
  3. Step 3: Cross multiply
    364,770x = 547,157.43 × 115,452
  4. Step 4: Simplify right side
    364,770x = 63,170,419,608.36
  5. Step 5: Solve for x
    x = 63,170,419,608.36/364,770
  6. Step 6: Final answer
    x = 173,178.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.