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Finding the Fourth Proportional to 419,784.58, 629,770.43 and 153,539.20

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Solution

The fourth proportional to 419,784.58, 629,770.43 and 153,539.20 is: 230,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,784.58 : 629,770.43 = 153,539.20 : x
  2. Step 2: Convert to fraction form
    419,784.58/629,770.43 = 153,539.20/x
  3. Step 3: Cross multiply
    419,784.58x = 629,770.43 × 153,539.20
  4. Step 4: Simplify right side
    419,784.58x = 96,694,448,005.86
  5. Step 5: Solve for x
    x = 96,694,448,005.86/419,784.58
  6. Step 6: Final answer
    x = 230,343.02

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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.