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Finding the Fourth Proportional to 419,761.83, 629,736.30 and 153,516.45

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Solution

The fourth proportional to 419,761.83, 629,736.30 and 153,516.45 is: 230,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,761.83 : 629,736.30 = 153,516.45 : x
  2. Step 2: Convert to fraction form
    419,761.83/629,736.30 = 153,516.45/x
  3. Step 3: Cross multiply
    419,761.83x = 629,736.30 × 153,516.45
  4. Step 4: Simplify right side
    419,761.83x = 96,674,881,212.14
  5. Step 5: Solve for x
    x = 96,674,881,212.14/419,761.83
  6. Step 6: Final answer
    x = 230,308.89

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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.