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Finding the Fourth Proportional to 335,165, 462,479.60 and 197,261.96

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Solution

The fourth proportional to 335,165, 462,479.60 and 197,261.96 is: 272,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,165 : 462,479.60 = 197,261.96 : x
  2. Step 2: Convert to fraction form
    335,165/462,479.60 = 197,261.96/x
  3. Step 3: Cross multiply
    335,165x = 462,479.60 × 197,261.96
  4. Step 4: Simplify right side
    335,165x = 91,229,632,356.02
  5. Step 5: Solve for x
    x = 91,229,632,356.02/335,165
  6. Step 6: Final answer
    x = 272,193.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.