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Finding the Fourth Proportional to 289,308.38, 399,245.11 and 161,983.98

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Solution

The fourth proportional to 289,308.38, 399,245.11 and 161,983.98 is: 223,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,308.38 : 399,245.11 = 161,983.98 : x
  2. Step 2: Convert to fraction form
    289,308.38/399,245.11 = 161,983.98/x
  3. Step 3: Cross multiply
    289,308.38x = 399,245.11 × 161,983.98
  4. Step 4: Simplify right side
    289,308.38x = 64,671,311,508.38
  5. Step 5: Solve for x
    x = 64,671,311,508.38/289,308.38
  6. Step 6: Final answer
    x = 223,537.64

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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.