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Finding the Fourth Proportional to 334,532.64, 461,661.91 and 189,338.42

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Solution

The fourth proportional to 334,532.64, 461,661.91 and 189,338.42 is: 261,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,532.64 : 461,661.91 = 189,338.42 : x
  2. Step 2: Convert to fraction form
    334,532.64/461,661.91 = 189,338.42/x
  3. Step 3: Cross multiply
    334,532.64x = 461,661.91 × 189,338.42
  4. Step 4: Simplify right side
    334,532.64x = 87,410,336,613.58
  5. Step 5: Solve for x
    x = 87,410,336,613.58/334,532.64
  6. Step 6: Final answer
    x = 261,290.91

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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.