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Finding the Fourth Proportional to 446,648.58, 669,578.94 and 165,969

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Solution

The fourth proportional to 446,648.58, 669,578.94 and 165,969 is: 248,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,648.58 : 669,578.94 = 165,969 : x
  2. Step 2: Convert to fraction form
    446,648.58/669,578.94 = 165,969/x
  3. Step 3: Cross multiply
    446,648.58x = 669,578.94 × 165,969
  4. Step 4: Simplify right side
    446,648.58x = 111,129,347,092.86
  5. Step 5: Solve for x
    x = 111,129,347,092.86/446,648.58
  6. Step 6: Final answer
    x = 248,807.12

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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.