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Finding the Fourth Proportional to 274,187.54, 411,403.90 and 174,321.02

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Solution

The fourth proportional to 274,187.54, 411,403.90 and 174,321.02 is: 261,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,187.54 : 411,403.90 = 174,321.02 : x
  2. Step 2: Convert to fraction form
    274,187.54/411,403.90 = 174,321.02/x
  3. Step 3: Cross multiply
    274,187.54x = 411,403.90 × 174,321.02
  4. Step 4: Simplify right side
    274,187.54x = 71,716,347,479.98
  5. Step 5: Solve for x
    x = 71,716,347,479.98/274,187.54
  6. Step 6: Final answer
    x = 261,559.47

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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.