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Finding the Fourth Proportional to 419,610.23, 629,419.71 and 335,902.50

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Solution

The fourth proportional to 419,610.23, 629,419.71 and 335,902.50 is: 503,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,610.23 : 629,419.71 = 335,902.50 : x
  2. Step 2: Convert to fraction form
    419,610.23/629,419.71 = 335,902.50/x
  3. Step 3: Cross multiply
    419,610.23x = 629,419.71 × 335,902.50
  4. Step 4: Simplify right side
    419,610.23x = 211,423,656,551.58
  5. Step 5: Solve for x
    x = 211,423,656,551.58/419,610.23
  6. Step 6: Final answer
    x = 503,857.25

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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.