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Finding the Fourth Proportional to 301,894.80, 416,624.80 and 165,933.60

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Solution

The fourth proportional to 301,894.80, 416,624.80 and 165,933.60 is: 228,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,894.80 : 416,624.80 = 165,933.60 : x
  2. Step 2: Convert to fraction form
    301,894.80/416,624.80 = 165,933.60/x
  3. Step 3: Cross multiply
    301,894.80x = 416,624.80 × 165,933.60
  4. Step 4: Simplify right side
    301,894.80x = 69,132,052,913.28
  5. Step 5: Solve for x
    x = 69,132,052,913.28/301,894.80
  6. Step 6: Final answer
    x = 228,993.85

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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.