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Finding the Fourth Proportional to 363,413.94, 501,506.17 and 202,269.03

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Solution

The fourth proportional to 363,413.94, 501,506.17 and 202,269.03 is: 279,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,413.94 : 501,506.17 = 202,269.03 : x
  2. Step 2: Convert to fraction form
    363,413.94/501,506.17 = 202,269.03/x
  3. Step 3: Cross multiply
    363,413.94x = 501,506.17 × 202,269.03
  4. Step 4: Simplify right side
    363,413.94x = 101,439,166,544.92
  5. Step 5: Solve for x
    x = 101,439,166,544.92/363,413.94
  6. Step 6: Final answer
    x = 279,128.44

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Why These Related Problems?

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