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Finding the Fourth Proportional to 649,413.55, 896,218.38 and 362,933.63

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Solution

The fourth proportional to 649,413.55, 896,218.38 and 362,933.63 is: 500,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,413.55 : 896,218.38 = 362,933.63 : x
  2. Step 2: Convert to fraction form
    649,413.55/896,218.38 = 362,933.63/x
  3. Step 3: Cross multiply
    649,413.55x = 896,218.38 × 362,933.63
  4. Step 4: Simplify right side
    649,413.55x = 325,267,789,926.12
  5. Step 5: Solve for x
    x = 325,267,789,926.12/649,413.55
  6. Step 6: Final answer
    x = 500,863.88

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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.