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Finding the Fourth Proportional to 387,170, 580,975.80 and 150,481.84

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Solution

The fourth proportional to 387,170, 580,975.80 and 150,481.84 is: 225,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,170 : 580,975.80 = 150,481.84 : x
  2. Step 2: Convert to fraction form
    387,170/580,975.80 = 150,481.84/x
  3. Step 3: Cross multiply
    387,170x = 580,975.80 × 150,481.84
  4. Step 4: Simplify right side
    387,170x = 87,426,307,379.47
  5. Step 5: Solve for x
    x = 87,426,307,379.47/387,170
  6. Step 6: Final answer
    x = 225,808.58

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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.