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Finding the Fourth Proportional to 277,413.57, 382,708.67 and 162,633.87

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Solution

The fourth proportional to 277,413.57, 382,708.67 and 162,633.87 is: 224,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,413.57 : 382,708.67 = 162,633.87 : x
  2. Step 2: Convert to fraction form
    277,413.57/382,708.67 = 162,633.87/x
  3. Step 3: Cross multiply
    277,413.57x = 382,708.67 × 162,633.87
  4. Step 4: Simplify right side
    277,413.57x = 62,241,391,271.48
  5. Step 5: Solve for x
    x = 62,241,391,271.48/277,413.57
  6. Step 6: Final answer
    x = 224,363.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.