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Finding the Fourth Proportional to 301,705.08, 416,413.08 and 174,421.68

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Solution

The fourth proportional to 301,705.08, 416,413.08 and 174,421.68 is: 240,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,705.08 : 416,413.08 = 174,421.68 : x
  2. Step 2: Convert to fraction form
    301,705.08/416,413.08 = 174,421.68/x
  3. Step 3: Cross multiply
    301,705.08x = 416,413.08 × 174,421.68
  4. Step 4: Simplify right side
    301,705.08x = 72,631,468,987.57
  5. Step 5: Solve for x
    x = 72,631,468,987.57/301,705.08
  6. Step 6: Final answer
    x = 240,736.65

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