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Finding the Fourth Proportional to 270,515, 405,884.24 and 118,633.48

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Solution

The fourth proportional to 270,515, 405,884.24 and 118,633.48 is: 177,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,515 : 405,884.24 = 118,633.48 : x
  2. Step 2: Convert to fraction form
    270,515/405,884.24 = 118,633.48/x
  3. Step 3: Cross multiply
    270,515x = 405,884.24 × 118,633.48
  4. Step 4: Simplify right side
    270,515x = 48,151,459,868.36
  5. Step 5: Solve for x
    x = 48,151,459,868.36/270,515
  6. Step 6: Final answer
    x = 177,999.22

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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.