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Finding the Fourth Proportional to 301,628.52, 416,231.19 and 165,636

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Solution

The fourth proportional to 301,628.52, 416,231.19 and 165,636 is: 228,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,628.52 : 416,231.19 = 165,636 : x
  2. Step 2: Convert to fraction form
    301,628.52/416,231.19 = 165,636/x
  3. Step 3: Cross multiply
    301,628.52x = 416,231.19 × 165,636
  4. Step 4: Simplify right side
    301,628.52x = 68,942,869,386.84
  5. Step 5: Solve for x
    x = 68,942,869,386.84/301,628.52
  6. Step 6: Final answer
    x = 228,568.80

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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.