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Finding the Fourth Proportional to 381,454.24, 526,285.20 and 220,288

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Solution

The fourth proportional to 381,454.24, 526,285.20 and 220,288 is: 303,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,454.24 : 526,285.20 = 220,288 : x
  2. Step 2: Convert to fraction form
    381,454.24/526,285.20 = 220,288/x
  3. Step 3: Cross multiply
    381,454.24x = 526,285.20 × 220,288
  4. Step 4: Simplify right side
    381,454.24x = 115,934,314,137.60
  5. Step 5: Solve for x
    x = 115,934,314,137.60/381,454.24
  6. Step 6: Final answer
    x = 303,927.19

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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.