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Finding the Fourth Proportional to 294,443.45, 406,301.45 and 165,396.41

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Solution

The fourth proportional to 294,443.45, 406,301.45 and 165,396.41 is: 228,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,443.45 : 406,301.45 = 165,396.41 : x
  2. Step 2: Convert to fraction form
    294,443.45/406,301.45 = 165,396.41/x
  3. Step 3: Cross multiply
    294,443.45x = 406,301.45 × 165,396.41
  4. Step 4: Simplify right side
    294,443.45x = 67,200,800,380.81
  5. Step 5: Solve for x
    x = 67,200,800,380.81/294,443.45
  6. Step 6: Final answer
    x = 228,229.90

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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.