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Finding the Fourth Proportional to 436,458.48, 654,334.24 and 196,396.08

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Solution

The fourth proportional to 436,458.48, 654,334.24 and 196,396.08 is: 294,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,458.48 : 654,334.24 = 196,396.08 : x
  2. Step 2: Convert to fraction form
    436,458.48/654,334.24 = 196,396.08/x
  3. Step 3: Cross multiply
    436,458.48x = 654,334.24 × 196,396.08
  4. Step 4: Simplify right side
    436,458.48x = 128,508,679,745.78
  5. Step 5: Solve for x
    x = 128,508,679,745.78/436,458.48
  6. Step 6: Final answer
    x = 294,435.06

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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.