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Finding the Fourth Proportional to 381,071.75, 525,841.12 and 219,978.70

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Solution

The fourth proportional to 381,071.75, 525,841.12 and 219,978.70 is: 303,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,071.75 : 525,841.12 = 219,978.70 : x
  2. Step 2: Convert to fraction form
    381,071.75/525,841.12 = 219,978.70/x
  3. Step 3: Cross multiply
    381,071.75x = 525,841.12 × 219,978.70
  4. Step 4: Simplify right side
    381,071.75x = 115,673,845,984.14
  5. Step 5: Solve for x
    x = 115,673,845,984.14/381,071.75
  6. Step 6: Final answer
    x = 303,548.73

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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.