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Finding the Fourth Proportional to 334,506.16, 461,618.33 and 189,309.31

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Solution

The fourth proportional to 334,506.16, 461,618.33 and 189,309.31 is: 261,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,506.16 : 461,618.33 = 189,309.31 : x
  2. Step 2: Convert to fraction form
    334,506.16/461,618.33 = 189,309.31/x
  3. Step 3: Cross multiply
    334,506.16x = 461,618.33 × 189,309.31
  4. Step 4: Simplify right side
    334,506.16x = 87,388,647,532.01
  5. Step 5: Solve for x
    x = 87,388,647,532.01/334,506.16
  6. Step 6: Final answer
    x = 261,246.75

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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.