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Finding the Fourth Proportional to 334,394.28, 461,457.96 and 189,198.54

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Solution

The fourth proportional to 334,394.28, 461,457.96 and 189,198.54 is: 261,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,394.28 : 461,457.96 = 189,198.54 : x
  2. Step 2: Convert to fraction form
    334,394.28/461,457.96 = 189,198.54/x
  3. Step 3: Cross multiply
    334,394.28x = 461,457.96 × 189,198.54
  4. Step 4: Simplify right side
    334,394.28x = 87,307,172,303.38
  5. Step 5: Solve for x
    x = 87,307,172,303.38/334,394.28
  6. Step 6: Final answer
    x = 261,090.51

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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.