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Finding the Fourth Proportional to 274,189.54, 411,406.90 and 174,323.02

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Solution

The fourth proportional to 274,189.54, 411,406.90 and 174,323.02 is: 261,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,189.54 : 411,406.90 = 174,323.02 : x
  2. Step 2: Convert to fraction form
    274,189.54/411,406.90 = 174,323.02/x
  3. Step 3: Cross multiply
    274,189.54x = 411,406.90 × 174,323.02
  4. Step 4: Simplify right side
    274,189.54x = 71,717,693,256.84
  5. Step 5: Solve for x
    x = 71,717,693,256.84/274,189.54
  6. Step 6: Final answer
    x = 261,562.47

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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.