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Finding the Fourth Proportional to 419,958.66, 629,938.46 and 104,415.60

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Solution

The fourth proportional to 419,958.66, 629,938.46 and 104,415.60 is: 156,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,958.66 : 629,938.46 = 104,415.60 : x
  2. Step 2: Convert to fraction form
    419,958.66/629,938.46 = 104,415.60/x
  3. Step 3: Cross multiply
    419,958.66x = 629,938.46 × 104,415.60
  4. Step 4: Simplify right side
    419,958.66x = 65,775,402,263.98
  5. Step 5: Solve for x
    x = 65,775,402,263.98/419,958.66
  6. Step 6: Final answer
    x = 156,623.52

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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.