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Finding the Fourth Proportional to 415,148, 622,722.60 and 115,629.44

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Solution

The fourth proportional to 415,148, 622,722.60 and 115,629.44 is: 173,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,148 : 622,722.60 = 115,629.44 : x
  2. Step 2: Convert to fraction form
    415,148/622,722.60 = 115,629.44/x
  3. Step 3: Cross multiply
    415,148x = 622,722.60 × 115,629.44
  4. Step 4: Simplify right side
    415,148x = 72,005,065,513.34
  5. Step 5: Solve for x
    x = 72,005,065,513.34/415,148
  6. Step 6: Final answer
    x = 173,444.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.