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Finding the Fourth Proportional to 301,650.45, 416,281.02 and 165,687.56

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Solution

The fourth proportional to 301,650.45, 416,281.02 and 165,687.56 is: 228,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,650.45 : 416,281.02 = 165,687.56 : x
  2. Step 2: Convert to fraction form
    301,650.45/416,281.02 = 165,687.56/x
  3. Step 3: Cross multiply
    301,650.45x = 416,281.02 × 165,687.56
  4. Step 4: Simplify right side
    301,650.45x = 68,972,584,396.71
  5. Step 5: Solve for x
    x = 68,972,584,396.71/301,650.45
  6. Step 6: Final answer
    x = 228,650.69

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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.