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Finding the Fourth Proportional to 411,081.56, 616,204.68 and 277,976.96

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Solution

The fourth proportional to 411,081.56, 616,204.68 and 277,976.96 is: 416,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,081.56 : 616,204.68 = 277,976.96 : x
  2. Step 2: Convert to fraction form
    411,081.56/616,204.68 = 277,976.96/x
  3. Step 3: Cross multiply
    411,081.56x = 616,204.68 × 277,976.96
  4. Step 4: Simplify right side
    411,081.56x = 171,290,703,684.17
  5. Step 5: Solve for x
    x = 171,290,703,684.17/411,081.56
  6. Step 6: Final answer
    x = 416,683.01

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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.