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Finding the Fourth Proportional to 282,998.14, 424,500.26 and 83,322.29

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Solution

The fourth proportional to 282,998.14, 424,500.26 and 83,322.29 is: 124,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,998.14 : 424,500.26 = 83,322.29 : x
  2. Step 2: Convert to fraction form
    282,998.14/424,500.26 = 83,322.29/x
  3. Step 3: Cross multiply
    282,998.14x = 424,500.26 × 83,322.29
  4. Step 4: Simplify right side
    282,998.14x = 35,370,334,413.43
  5. Step 5: Solve for x
    x = 35,370,334,413.43/282,998.14
  6. Step 6: Final answer
    x = 124,984.34

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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.