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Finding the Fourth Proportional to 335,008.64, 462,329.64 and 189,842.60

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Solution

The fourth proportional to 335,008.64, 462,329.64 and 189,842.60 is: 261,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,008.64 : 462,329.64 = 189,842.60 : x
  2. Step 2: Convert to fraction form
    335,008.64/462,329.64 = 189,842.60/x
  3. Step 3: Cross multiply
    335,008.64x = 462,329.64 × 189,842.60
  4. Step 4: Simplify right side
    335,008.64x = 87,769,860,914.66
  5. Step 5: Solve for x
    x = 87,769,860,914.66/335,008.64
  6. Step 6: Final answer
    x = 261,992.83

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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.