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Finding the Fourth Proportional to 301,680.46, 416,307.63 and 167,553.10

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Solution

The fourth proportional to 301,680.46, 416,307.63 and 167,553.10 is: 231,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,680.46 : 416,307.63 = 167,553.10 : x
  2. Step 2: Convert to fraction form
    301,680.46/416,307.63 = 167,553.10/x
  3. Step 3: Cross multiply
    301,680.46x = 416,307.63 × 167,553.10
  4. Step 4: Simplify right side
    301,680.46x = 69,753,633,960.15
  5. Step 5: Solve for x
    x = 69,753,633,960.15/301,680.46
  6. Step 6: Final answer
    x = 231,216.94

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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.