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Finding the Fourth Proportional to 361,709.21, 499,181.14 and 200,564.26

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Solution

The fourth proportional to 361,709.21, 499,181.14 and 200,564.26 is: 276,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,709.21 : 499,181.14 = 200,564.26 : x
  2. Step 2: Convert to fraction form
    361,709.21/499,181.14 = 200,564.26/x
  3. Step 3: Cross multiply
    361,709.21x = 499,181.14 × 200,564.26
  4. Step 4: Simplify right side
    361,709.21x = 100,117,894,952.81
  5. Step 5: Solve for x
    x = 100,117,894,952.81/361,709.21
  6. Step 6: Final answer
    x = 276,791.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.