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Finding the Fourth Proportional to 525,685.80, 725,447.06 and 283,968.38

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Solution

The fourth proportional to 525,685.80, 725,447.06 and 283,968.38 is: 391,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,685.80 : 725,447.06 = 283,968.38 : x
  2. Step 2: Convert to fraction form
    525,685.80/725,447.06 = 283,968.38/x
  3. Step 3: Cross multiply
    525,685.80x = 725,447.06 × 283,968.38
  4. Step 4: Simplify right side
    525,685.80x = 206,004,022,273.58
  5. Step 5: Solve for x
    x = 206,004,022,273.58/525,685.80
  6. Step 6: Final answer
    x = 391,876.71

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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.