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Finding the Fourth Proportional to 294,458.10, 441,689.45 and 161,265.69

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Solution

The fourth proportional to 294,458.10, 441,689.45 and 161,265.69 is: 241,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,458.10 : 441,689.45 = 161,265.69 : x
  2. Step 2: Convert to fraction form
    294,458.10/441,689.45 = 161,265.69/x
  3. Step 3: Cross multiply
    294,458.10x = 441,689.45 × 161,265.69
  4. Step 4: Simplify right side
    294,458.10x = 71,229,353,919.97
  5. Step 5: Solve for x
    x = 71,229,353,919.97/294,458.10
  6. Step 6: Final answer
    x = 241,899.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.