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Finding the Fourth Proportional to 274,132.80, 411,890.40 and 174,340.80

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Solution

The fourth proportional to 274,132.80, 411,890.40 and 174,340.80 is: 261,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,132.80 : 411,890.40 = 174,340.80 : x
  2. Step 2: Convert to fraction form
    274,132.80/411,890.40 = 174,340.80/x
  3. Step 3: Cross multiply
    274,132.80x = 411,890.40 × 174,340.80
  4. Step 4: Simplify right side
    274,132.80x = 71,809,301,848.32
  5. Step 5: Solve for x
    x = 71,809,301,848.32/274,132.80
  6. Step 6: Final answer
    x = 261,950.78

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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.