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Finding the Fourth Proportional to 277,606.92, 416,413.77 and 97,697.70

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Solution

The fourth proportional to 277,606.92, 416,413.77 and 97,697.70 is: 146,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,606.92 : 416,413.77 = 97,697.70 : x
  2. Step 2: Convert to fraction form
    277,606.92/416,413.77 = 97,697.70/x
  3. Step 3: Cross multiply
    277,606.92x = 416,413.77 × 97,697.70
  4. Step 4: Simplify right side
    277,606.92x = 40,682,667,577.33
  5. Step 5: Solve for x
    x = 40,682,667,577.33/277,606.92
  6. Step 6: Final answer
    x = 146,547.74

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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.