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Finding the Fourth Proportional to 800,184, 1,200,287.52 and 209,208

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Solution

The fourth proportional to 800,184, 1,200,287.52 and 209,208 is: 313,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,184 : 1,200,287.52 = 209,208 : x
  2. Step 2: Convert to fraction form
    800,184/1,200,287.52 = 209,208/x
  3. Step 3: Cross multiply
    800,184x = 1,200,287.52 × 209,208
  4. Step 4: Simplify right side
    800,184x = 251,109,751,484.16
  5. Step 5: Solve for x
    x = 251,109,751,484.16/800,184
  6. Step 6: Final answer
    x = 313,815.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.