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Finding the Fourth Proportional to 277,413.36, 416,804.76 and 177,617.04

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Solution

The fourth proportional to 277,413.36, 416,804.76 and 177,617.04 is: 266,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,413.36 : 416,804.76 = 177,617.04 : x
  2. Step 2: Convert to fraction form
    277,413.36/416,804.76 = 177,617.04/x
  3. Step 3: Cross multiply
    277,413.36x = 416,804.76 × 177,617.04
  4. Step 4: Simplify right side
    277,413.36x = 74,031,627,729.11
  5. Step 5: Solve for x
    x = 74,031,627,729.11/277,413.36
  6. Step 6: Final answer
    x = 266,863.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.