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Finding the Fourth Proportional to 380,910, 525,655.80 and 211,170

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Solution

The fourth proportional to 380,910, 525,655.80 and 211,170 is: 291,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,910 : 525,655.80 = 211,170 : x
  2. Step 2: Convert to fraction form
    380,910/525,655.80 = 211,170/x
  3. Step 3: Cross multiply
    380,910x = 525,655.80 × 211,170
  4. Step 4: Simplify right side
    380,910x = 111,002,735,286.00
  5. Step 5: Solve for x
    x = 111,002,735,286.00/380,910
  6. Step 6: Final answer
    x = 291,414.60

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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.