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Finding the Fourth Proportional to 381,189.44, 526,048.44 and 209,116.19

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Solution

The fourth proportional to 381,189.44, 526,048.44 and 209,116.19 is: 288,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,189.44 : 526,048.44 = 209,116.19 : x
  2. Step 2: Convert to fraction form
    381,189.44/526,048.44 = 209,116.19/x
  3. Step 3: Cross multiply
    381,189.44x = 526,048.44 × 209,116.19
  4. Step 4: Simplify right side
    381,189.44x = 110,005,242,898.00
  5. Step 5: Solve for x
    x = 110,005,242,898.00/381,189.44
  6. Step 6: Final answer
    x = 288,584.19

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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.