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Finding the Fourth Proportional to 277,502.10, 416,252.61 and 214,413.90

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Solution

The fourth proportional to 277,502.10, 416,252.61 and 214,413.90 is: 321,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502.10 : 416,252.61 = 214,413.90 : x
  2. Step 2: Convert to fraction form
    277,502.10/416,252.61 = 214,413.90/x
  3. Step 3: Cross multiply
    277,502.10x = 416,252.61 × 214,413.90
  4. Step 4: Simplify right side
    277,502.10x = 89,250,345,495.28
  5. Step 5: Solve for x
    x = 89,250,345,495.28/277,502.10
  6. Step 6: Final answer
    x = 321,620.43

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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.