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Finding the Fourth Proportional to 274,540.52, 411,881.76 and 160,784.48

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Solution

The fourth proportional to 274,540.52, 411,881.76 and 160,784.48 is: 241,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,540.52 : 411,881.76 = 160,784.48 : x
  2. Step 2: Convert to fraction form
    274,540.52/411,881.76 = 160,784.48/x
  3. Step 3: Cross multiply
    274,540.52x = 411,881.76 × 160,784.48
  4. Step 4: Simplify right side
    274,540.52x = 66,224,194,603.08
  5. Step 5: Solve for x
    x = 66,224,194,603.08/274,540.52
  6. Step 6: Final answer
    x = 241,218.29

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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.