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Finding the Fourth Proportional to 362,201.86, 543,871.44 and 306,768.70

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Solution

The fourth proportional to 362,201.86, 543,871.44 and 306,768.70 is: 460,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,201.86 : 543,871.44 = 306,768.70 : x
  2. Step 2: Convert to fraction form
    362,201.86/543,871.44 = 306,768.70/x
  3. Step 3: Cross multiply
    362,201.86x = 543,871.44 × 306,768.70
  4. Step 4: Simplify right side
    362,201.86x = 166,842,734,615.93
  5. Step 5: Solve for x
    x = 166,842,734,615.93/362,201.86
  6. Step 6: Final answer
    x = 460,634.67

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Why These Related Problems?

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