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Finding the Fourth Proportional to 419,014.72, 628,527.85 and 119,495.33

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Solution

The fourth proportional to 419,014.72, 628,527.85 and 119,495.33 is: 179,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,014.72 : 628,527.85 = 119,495.33 : x
  2. Step 2: Convert to fraction form
    419,014.72/628,527.85 = 119,495.33/x
  3. Step 3: Cross multiply
    419,014.72x = 628,527.85 × 119,495.33
  4. Step 4: Simplify right side
    419,014.72x = 75,106,142,849.94
  5. Step 5: Solve for x
    x = 75,106,142,849.94/419,014.72
  6. Step 6: Final answer
    x = 179,244.64

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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.