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Finding the Fourth Proportional to 335,538.68, 462,866.93 and 199,475.86

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Solution

The fourth proportional to 335,538.68, 462,866.93 and 199,475.86 is: 275,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,538.68 : 462,866.93 = 199,475.86 : x
  2. Step 2: Convert to fraction form
    335,538.68/462,866.93 = 199,475.86/x
  3. Step 3: Cross multiply
    335,538.68x = 462,866.93 × 199,475.86
  4. Step 4: Simplify right side
    335,538.68x = 92,330,775,615.60
  5. Step 5: Solve for x
    x = 92,330,775,615.60/335,538.68
  6. Step 6: Final answer
    x = 275,171.78

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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.