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Finding the Fourth Proportional to 265,457.18, 397,250.22 and 165,664.28

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Solution

The fourth proportional to 265,457.18, 397,250.22 and 165,664.28 is: 247,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,457.18 : 397,250.22 = 165,664.28 : x
  2. Step 2: Convert to fraction form
    265,457.18/397,250.22 = 165,664.28/x
  3. Step 3: Cross multiply
    265,457.18x = 397,250.22 × 165,664.28
  4. Step 4: Simplify right side
    265,457.18x = 65,810,171,676.14
  5. Step 5: Solve for x
    x = 65,810,171,676.14/265,457.18
  6. Step 6: Final answer
    x = 247,912.57

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Why These Related Problems?

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