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Finding the Fourth Proportional to 431,685.11, 647,158.41 and 165,636.56

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Solution

The fourth proportional to 431,685.11, 647,158.41 and 165,636.56 is: 248,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,685.11 : 647,158.41 = 165,636.56 : x
  2. Step 2: Convert to fraction form
    431,685.11/647,158.41 = 165,636.56/x
  3. Step 3: Cross multiply
    431,685.11x = 647,158.41 × 165,636.56
  4. Step 4: Simplify right side
    431,685.11x = 107,193,094,425.37
  5. Step 5: Solve for x
    x = 107,193,094,425.37/431,685.11
  6. Step 6: Final answer
    x = 248,313.16

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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.