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Finding the Fourth Proportional to 419,873.35, 629,811.64 and 127,756.01

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Solution

The fourth proportional to 419,873.35, 629,811.64 and 127,756.01 is: 191,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,873.35 : 629,811.64 = 127,756.01 : x
  2. Step 2: Convert to fraction form
    419,873.35/629,811.64 = 127,756.01/x
  3. Step 3: Cross multiply
    419,873.35x = 629,811.64 × 127,756.01
  4. Step 4: Simplify right side
    419,873.35x = 80,462,223,433.10
  5. Step 5: Solve for x
    x = 80,462,223,433.10/419,873.35
  6. Step 6: Final answer
    x = 191,634.51

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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.