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Finding the Fourth Proportional to 381,115, 525,900.90 and 220,022.02

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Solution

The fourth proportional to 381,115, 525,900.90 and 220,022.02 is: 303,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,115 : 525,900.90 = 220,022.02 : x
  2. Step 2: Convert to fraction form
    381,115/525,900.90 = 220,022.02/x
  3. Step 3: Cross multiply
    381,115x = 525,900.90 × 220,022.02
  4. Step 4: Simplify right side
    381,115x = 115,709,778,337.82
  5. Step 5: Solve for x
    x = 115,709,778,337.82/381,115
  6. Step 6: Final answer
    x = 303,608.57

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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.