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Finding the Fourth Proportional to 456,413.09, 629,801.60 and 252,431.60

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Solution

The fourth proportional to 456,413.09, 629,801.60 and 252,431.60 is: 348,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,413.09 : 629,801.60 = 252,431.60 : x
  2. Step 2: Convert to fraction form
    456,413.09/629,801.60 = 252,431.60/x
  3. Step 3: Cross multiply
    456,413.09x = 629,801.60 × 252,431.60
  4. Step 4: Simplify right side
    456,413.09x = 158,981,824,308.40
  5. Step 5: Solve for x
    x = 158,981,824,308.40/456,413.09
  6. Step 6: Final answer
    x = 348,328.80

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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.