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Finding the Fourth Proportional to 374,413.54, 516,689.94 and 213,268.54

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Solution

The fourth proportional to 374,413.54, 516,689.94 and 213,268.54 is: 294,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,413.54 : 516,689.94 = 213,268.54 : x
  2. Step 2: Convert to fraction form
    374,413.54/516,689.94 = 213,268.54/x
  3. Step 3: Cross multiply
    374,413.54x = 516,689.94 × 213,268.54
  4. Step 4: Simplify right side
    374,413.54x = 110,193,709,136.49
  5. Step 5: Solve for x
    x = 110,193,709,136.49/374,413.54
  6. Step 6: Final answer
    x = 294,310.16

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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.