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Finding the Fourth Proportional to 446,657.58, 669,592.44 and 165,978

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Solution

The fourth proportional to 446,657.58, 669,592.44 and 165,978 is: 248,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,657.58 : 669,592.44 = 165,978 : x
  2. Step 2: Convert to fraction form
    446,657.58/669,592.44 = 165,978/x
  3. Step 3: Cross multiply
    446,657.58x = 669,592.44 × 165,978
  4. Step 4: Simplify right side
    446,657.58x = 111,137,614,006.32
  5. Step 5: Solve for x
    x = 111,137,614,006.32/446,657.58
  6. Step 6: Final answer
    x = 248,820.62

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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.