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Finding the Fourth Proportional to 381,075.32, 525,846.03 and 219,982.26

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Solution

The fourth proportional to 381,075.32, 525,846.03 and 219,982.26 is: 303,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,075.32 : 525,846.03 = 219,982.26 : x
  2. Step 2: Convert to fraction form
    381,075.32/525,846.03 = 219,982.26/x
  3. Step 3: Cross multiply
    381,075.32x = 525,846.03 × 219,982.26
  4. Step 4: Simplify right side
    381,075.32x = 115,676,798,091.43
  5. Step 5: Solve for x
    x = 115,676,798,091.43/381,075.32
  6. Step 6: Final answer
    x = 303,553.63

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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.