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Finding the Fourth Proportional to 599,769.16, 899,700.21 and 200,411.31

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Solution

The fourth proportional to 599,769.16, 899,700.21 and 200,411.31 is: 300,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,769.16 : 899,700.21 = 200,411.31 : x
  2. Step 2: Convert to fraction form
    599,769.16/899,700.21 = 200,411.31/x
  3. Step 3: Cross multiply
    599,769.16x = 899,700.21 × 200,411.31
  4. Step 4: Simplify right side
    599,769.16x = 180,310,101,067.25
  5. Step 5: Solve for x
    x = 180,310,101,067.25/599,769.16
  6. Step 6: Final answer
    x = 300,632.50

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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.