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Finding the Fourth Proportional to 599,771.10, 899,703.16 and 200,413.30

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Solution

The fourth proportional to 599,771.10, 899,703.16 and 200,413.30 is: 300,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,771.10 : 899,703.16 = 200,413.30 : x
  2. Step 2: Convert to fraction form
    599,771.10/899,703.16 = 200,413.30/x
  3. Step 3: Cross multiply
    599,771.10x = 899,703.16 × 200,413.30
  4. Step 4: Simplify right side
    599,771.10x = 180,312,479,316.03
  5. Step 5: Solve for x
    x = 180,312,479,316.03/599,771.10
  6. Step 6: Final answer
    x = 300,635.49

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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.