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Finding the Fourth Proportional to 301,638, 416,260.44 and 167,502

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Solution

The fourth proportional to 301,638, 416,260.44 and 167,502 is: 231,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,638 : 416,260.44 = 167,502 : x
  2. Step 2: Convert to fraction form
    301,638/416,260.44 = 167,502/x
  3. Step 3: Cross multiply
    301,638x = 416,260.44 × 167,502
  4. Step 4: Simplify right side
    301,638x = 69,724,456,220.88
  5. Step 5: Solve for x
    x = 69,724,456,220.88/301,638
  6. Step 6: Final answer
    x = 231,152.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.