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Finding the Fourth Proportional to 333,378.87, 460,059.32 and 180,413.75

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Solution

The fourth proportional to 333,378.87, 460,059.32 and 180,413.75 is: 248,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,378.87 : 460,059.32 = 180,413.75 : x
  2. Step 2: Convert to fraction form
    333,378.87/460,059.32 = 180,413.75/x
  3. Step 3: Cross multiply
    333,378.87x = 460,059.32 × 180,413.75
  4. Step 4: Simplify right side
    333,378.87x = 83,001,023,941.28
  5. Step 5: Solve for x
    x = 83,001,023,941.28/333,378.87
  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.