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Finding the Fourth Proportional to 334,765.29, 461,863.72 and 189,551.22

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Solution

The fourth proportional to 334,765.29, 461,863.72 and 189,551.22 is: 261,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,765.29 : 461,863.72 = 189,551.22 : x
  2. Step 2: Convert to fraction form
    334,765.29/461,863.72 = 189,551.22/x
  3. Step 3: Cross multiply
    334,765.29x = 461,863.72 × 189,551.22
  4. Step 4: Simplify right side
    334,765.29x = 87,546,831,599.74
  5. Step 5: Solve for x
    x = 87,546,831,599.74/334,765.29
  6. Step 6: Final answer
    x = 261,517.05

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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.