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Finding the Fourth Proportional to 599,796.32, 899,740.84 and 200,438.48

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Solution

The fourth proportional to 599,796.32, 899,740.84 and 200,438.48 is: 300,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,796.32 : 899,740.84 = 200,438.48 : x
  2. Step 2: Convert to fraction form
    599,796.32/899,740.84 = 200,438.48/x
  3. Step 3: Cross multiply
    599,796.32x = 899,740.84 × 200,438.48
  4. Step 4: Simplify right side
    599,796.32x = 180,342,686,363.52
  5. Step 5: Solve for x
    x = 180,342,686,363.52/599,796.32
  6. Step 6: Final answer
    x = 300,673.21

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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.