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Finding the Fourth Proportional to 264,880.90, 397,321.35 and 146,491.30

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Solution

The fourth proportional to 264,880.90, 397,321.35 and 146,491.30 is: 219,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,880.90 : 397,321.35 = 146,491.30 : x
  2. Step 2: Convert to fraction form
    264,880.90/397,321.35 = 146,491.30/x
  3. Step 3: Cross multiply
    264,880.90x = 397,321.35 × 146,491.30
  4. Step 4: Simplify right side
    264,880.90x = 58,204,121,079.26
  5. Step 5: Solve for x
    x = 58,204,121,079.26/264,880.90
  6. Step 6: Final answer
    x = 219,736.95

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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.