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Finding the Fourth Proportional to 378,089.96, 566,969.34 and 200,556.68

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Solution

The fourth proportional to 378,089.96, 566,969.34 and 200,556.68 is: 300,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,089.96 : 566,969.34 = 200,556.68 : x
  2. Step 2: Convert to fraction form
    378,089.96/566,969.34 = 200,556.68/x
  3. Step 3: Cross multiply
    378,089.96x = 566,969.34 × 200,556.68
  4. Step 4: Simplify right side
    378,089.96x = 113,709,488,492.19
  5. Step 5: Solve for x
    x = 113,709,488,492.19/378,089.96
  6. Step 6: Final answer
    x = 300,747.18

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Why These Related Problems?

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