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Finding the Fourth Proportional to 301,455.20, 416,012.15 and 165,469.37

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Solution

The fourth proportional to 301,455.20, 416,012.15 and 165,469.37 is: 228,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,455.20 : 416,012.15 = 165,469.37 : x
  2. Step 2: Convert to fraction form
    301,455.20/416,012.15 = 165,469.37/x
  3. Step 3: Cross multiply
    301,455.20x = 416,012.15 × 165,469.37
  4. Step 4: Simplify right side
    301,455.20x = 68,837,266,706.46
  5. Step 5: Solve for x
    x = 68,837,266,706.46/301,455.20
  6. Step 6: Final answer
    x = 228,349.90

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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.