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Finding the Fourth Proportional to 333,378.97, 460,059.38 and 180,413.77

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Solution

The fourth proportional to 333,378.97, 460,059.38 and 180,413.77 is: 248,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,378.97 : 460,059.38 = 180,413.77 : x
  2. Step 2: Convert to fraction form
    333,378.97/460,059.38 = 180,413.77/x
  3. Step 3: Cross multiply
    333,378.97x = 460,059.38 × 180,413.77
  4. Step 4: Simplify right side
    333,378.97x = 83,001,048,770.85
  5. Step 5: Solve for x
    x = 83,001,048,770.85/333,378.97
  6. Step 6: Final answer
    x = 248,969.06

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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.