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Finding the Fourth Proportional to 301,485.44, 416,050.62 and 165,528.14

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Solution

The fourth proportional to 301,485.44, 416,050.62 and 165,528.14 is: 228,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,485.44 : 416,050.62 = 165,528.14 : x
  2. Step 2: Convert to fraction form
    301,485.44/416,050.62 = 165,528.14/x
  3. Step 3: Cross multiply
    301,485.44x = 416,050.62 × 165,528.14
  4. Step 4: Simplify right side
    301,485.44x = 68,868,083,194.19
  5. Step 5: Solve for x
    x = 68,868,083,194.19/301,485.44
  6. Step 6: Final answer
    x = 228,429.22

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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.