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Finding the Fourth Proportional to 321,452.94, 481,907.13 and 196,531.50

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Solution

The fourth proportional to 321,452.94, 481,907.13 and 196,531.50 is: 294,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,452.94 : 481,907.13 = 196,531.50 : x
  2. Step 2: Convert to fraction form
    321,452.94/481,907.13 = 196,531.50/x
  3. Step 3: Cross multiply
    321,452.94x = 481,907.13 × 196,531.50
  4. Step 4: Simplify right side
    321,452.94x = 94,709,931,119.60
  5. Step 5: Solve for x
    x = 94,709,931,119.60/321,452.94
  6. Step 6: Final answer
    x = 294,630.78

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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.