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Finding the Fourth Proportional to 294,434.56, 441,659.10 and 107,446

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Solution

The fourth proportional to 294,434.56, 441,659.10 and 107,446 is: 161,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,434.56 : 441,659.10 = 107,446 : x
  2. Step 2: Convert to fraction form
    294,434.56/441,659.10 = 107,446/x
  3. Step 3: Cross multiply
    294,434.56x = 441,659.10 × 107,446
  4. Step 4: Simplify right side
    294,434.56x = 47,454,503,658.60
  5. Step 5: Solve for x
    x = 47,454,503,658.60/294,434.56
  6. Step 6: Final answer
    x = 161,171.65

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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.