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Finding the Fourth Proportional to 400,271.85, 600,404.43 and 163,448.43

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Solution

The fourth proportional to 400,271.85, 600,404.43 and 163,448.43 is: 245,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,271.85 : 600,404.43 = 163,448.43 : x
  2. Step 2: Convert to fraction form
    400,271.85/600,404.43 = 163,448.43/x
  3. Step 3: Cross multiply
    400,271.85x = 600,404.43 × 163,448.43
  4. Step 4: Simplify right side
    400,271.85x = 98,135,161,448.54
  5. Step 5: Solve for x
    x = 98,135,161,448.54/400,271.85
  6. Step 6: Final answer
    x = 245,171.28

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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.