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Finding the Fourth Proportional to 381,002.13, 525,837.42 and 219,912.57

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Solution

The fourth proportional to 381,002.13, 525,837.42 and 219,912.57 is: 303,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,002.13 : 525,837.42 = 219,912.57 : x
  2. Step 2: Convert to fraction form
    381,002.13/525,837.42 = 219,912.57/x
  3. Step 3: Cross multiply
    381,002.13x = 525,837.42 × 219,912.57
  4. Step 4: Simplify right side
    381,002.13x = 115,638,258,434.37
  5. Step 5: Solve for x
    x = 115,638,258,434.37/381,002.13
  6. Step 6: Final answer
    x = 303,510.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.