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Finding the Fourth Proportional to 334,817.55, 461,917.95 and 189,589.98

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Solution

The fourth proportional to 334,817.55, 461,917.95 and 189,589.98 is: 261,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,817.55 : 461,917.95 = 189,589.98 : x
  2. Step 2: Convert to fraction form
    334,817.55/461,917.95 = 189,589.98/x
  3. Step 3: Cross multiply
    334,817.55x = 461,917.95 × 189,589.98
  4. Step 4: Simplify right side
    334,817.55x = 87,575,014,902.14
  5. Step 5: Solve for x
    x = 87,575,014,902.14/334,817.55
  6. Step 6: Final answer
    x = 261,560.41

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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.