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Finding the Fourth Proportional to 301,511.64, 416,069.82 and 167,367

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Solution

The fourth proportional to 301,511.64, 416,069.82 and 167,367 is: 230,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,511.64 : 416,069.82 = 167,367 : x
  2. Step 2: Convert to fraction form
    301,511.64/416,069.82 = 167,367/x
  3. Step 3: Cross multiply
    301,511.64x = 416,069.82 × 167,367
  4. Step 4: Simplify right side
    301,511.64x = 69,636,357,563.94
  5. Step 5: Solve for x
    x = 69,636,357,563.94/301,511.64
  6. Step 6: Final answer
    x = 230,957.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.