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Finding the Fourth Proportional to 538,413.68, 806,727.72 and 327,413.36

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Solution

The fourth proportional to 538,413.68, 806,727.72 and 327,413.36 is: 490,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,413.68 : 806,727.72 = 327,413.36 : x
  2. Step 2: Convert to fraction form
    538,413.68/806,727.72 = 327,413.36/x
  3. Step 3: Cross multiply
    538,413.68x = 806,727.72 × 327,413.36
  4. Step 4: Simplify right side
    538,413.68x = 264,133,433,410.34
  5. Step 5: Solve for x
    x = 264,133,433,410.34/538,413.68
  6. Step 6: Final answer
    x = 490,577.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.