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Finding the Fourth Proportional to 328,067.20, 491,409.60 and 265,859.20

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Solution

The fourth proportional to 328,067.20, 491,409.60 and 265,859.20 is: 398,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,067.20 : 491,409.60 = 265,859.20 : x
  2. Step 2: Convert to fraction form
    328,067.20/491,409.60 = 265,859.20/x
  3. Step 3: Cross multiply
    328,067.20x = 491,409.60 × 265,859.20
  4. Step 4: Simplify right side
    328,067.20x = 130,645,763,128.32
  5. Step 5: Solve for x
    x = 130,645,763,128.32/328,067.20
  6. Step 6: Final answer
    x = 398,228.67

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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.