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Finding the Fourth Proportional to 381,287.24, 526,187.22 and 209,213

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Solution

The fourth proportional to 381,287.24, 526,187.22 and 209,213 is: 288,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,287.24 : 526,187.22 = 209,213 : x
  2. Step 2: Convert to fraction form
    381,287.24/526,187.22 = 209,213/x
  3. Step 3: Cross multiply
    381,287.24x = 526,187.22 × 209,213
  4. Step 4: Simplify right side
    381,287.24x = 110,085,206,857.86
  5. Step 5: Solve for x
    x = 110,085,206,857.86/381,287.24
  6. Step 6: Final answer
    x = 288,719.88

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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.