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Finding the Fourth Proportional to 301,432, 415,995.60 and 167,296

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Solution

The fourth proportional to 301,432, 415,995.60 and 167,296 is: 230,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,432 : 415,995.60 = 167,296 : x
  2. Step 2: Convert to fraction form
    301,432/415,995.60 = 167,296/x
  3. Step 3: Cross multiply
    301,432x = 415,995.60 × 167,296
  4. Step 4: Simplify right side
    301,432x = 69,594,399,897.60
  5. Step 5: Solve for x
    x = 69,594,399,897.60/301,432
  6. Step 6: Final answer
    x = 230,879.27

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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.