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Finding the Fourth Proportional to 446,896.60, 670,604.10 and 166,442.20

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Solution

The fourth proportional to 446,896.60, 670,604.10 and 166,442.20 is: 249,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,896.60 : 670,604.10 = 166,442.20 : x
  2. Step 2: Convert to fraction form
    446,896.60/670,604.10 = 166,442.20/x
  3. Step 3: Cross multiply
    446,896.60x = 670,604.10 × 166,442.20
  4. Step 4: Simplify right side
    446,896.60x = 111,616,821,733.02
  5. Step 5: Solve for x
    x = 111,616,821,733.02/446,896.60
  6. Step 6: Final answer
    x = 249,759.84

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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.