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Finding the Fourth Proportional to 312,171.41, 430,750.19 and 189,600

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Solution

The fourth proportional to 312,171.41, 430,750.19 and 189,600 is: 261,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,171.41 : 430,750.19 = 189,600 : x
  2. Step 2: Convert to fraction form
    312,171.41/430,750.19 = 189,600/x
  3. Step 3: Cross multiply
    312,171.41x = 430,750.19 × 189,600
  4. Step 4: Simplify right side
    312,171.41x = 81,670,236,024
  5. Step 5: Solve for x
    x = 81,670,236,024/312,171.41
  6. Step 6: Final answer
    x = 261,619.85

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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.