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Finding the Fourth Proportional to 301,554.64, 416,137.80 and 167,410

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Solution

The fourth proportional to 301,554.64, 416,137.80 and 167,410 is: 231,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,554.64 : 416,137.80 = 167,410 : x
  2. Step 2: Convert to fraction form
    301,554.64/416,137.80 = 167,410/x
  3. Step 3: Cross multiply
    301,554.64x = 416,137.80 × 167,410
  4. Step 4: Simplify right side
    301,554.64x = 69,665,629,098
  5. Step 5: Solve for x
    x = 69,665,629,098/301,554.64
  6. Step 6: Final answer
    x = 231,021.58

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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.