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Finding the Fourth Proportional to 364,194.33, 546,449.10 and 195,517.86

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Solution

The fourth proportional to 364,194.33, 546,449.10 and 195,517.86 is: 293,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,194.33 : 546,449.10 = 195,517.86 : x
  2. Step 2: Convert to fraction form
    364,194.33/546,449.10 = 195,517.86/x
  3. Step 3: Cross multiply
    364,194.33x = 546,449.10 × 195,517.86
  4. Step 4: Simplify right side
    364,194.33x = 106,840,558,630.93
  5. Step 5: Solve for x
    x = 106,840,558,630.93/364,194.33
  6. Step 6: Final answer
    x = 293,361.40

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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.