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Finding the Fourth Proportional to 297,874.48, 411,485.16 and 270,969.52

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Solution

The fourth proportional to 297,874.48, 411,485.16 and 270,969.52 is: 374,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,874.48 : 411,485.16 = 270,969.52 : x
  2. Step 2: Convert to fraction form
    297,874.48/411,485.16 = 270,969.52/x
  3. Step 3: Cross multiply
    297,874.48x = 411,485.16 × 270,969.52
  4. Step 4: Simplify right side
    297,874.48x = 111,499,936,292.32
  5. Step 5: Solve for x
    x = 111,499,936,292.32/297,874.48
  6. Step 6: Final answer
    x = 374,318.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.