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Finding the Fourth Proportional to 419,783.58, 629,768.93 and 153,538.20

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Solution

The fourth proportional to 419,783.58, 629,768.93 and 153,538.20 is: 230,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,783.58 : 629,768.93 = 153,538.20 : x
  2. Step 2: Convert to fraction form
    419,783.58/629,768.93 = 153,538.20/x
  3. Step 3: Cross multiply
    419,783.58x = 629,768.93 × 153,538.20
  4. Step 4: Simplify right side
    419,783.58x = 96,693,587,160.44
  5. Step 5: Solve for x
    x = 96,693,587,160.44/419,783.58
  6. Step 6: Final answer
    x = 230,341.52

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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.