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Finding the Fourth Proportional to 431,173.75, 646,270.16 and 262,321.88

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Solution

The fourth proportional to 431,173.75, 646,270.16 and 262,321.88 is: 393,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,173.75 : 646,270.16 = 262,321.88 : x
  2. Step 2: Convert to fraction form
    431,173.75/646,270.16 = 262,321.88/x
  3. Step 3: Cross multiply
    431,173.75x = 646,270.16 × 262,321.88
  4. Step 4: Simplify right side
    431,173.75x = 169,530,803,359.10
  5. Step 5: Solve for x
    x = 169,530,803,359.10/431,173.75
  6. Step 6: Final answer
    x = 393,184.43

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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.