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Finding the Fourth Proportional to 274,516.40, 411,845.62 and 160,760.32

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Solution

The fourth proportional to 274,516.40, 411,845.62 and 160,760.32 is: 241,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,516.40 : 411,845.62 = 160,760.32 : x
  2. Step 2: Convert to fraction form
    274,516.40/411,845.62 = 160,760.32/x
  3. Step 3: Cross multiply
    274,516.40x = 411,845.62 × 160,760.32
  4. Step 4: Simplify right side
    274,516.40x = 66,208,433,661.80
  5. Step 5: Solve for x
    x = 66,208,433,661.80/274,516.40
  6. Step 6: Final answer
    x = 241,182.07

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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.