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Finding the Fourth Proportional to 496,891.78, 685,713.93 and 282,035.43

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Solution

The fourth proportional to 496,891.78, 685,713.93 and 282,035.43 is: 389,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,891.78 : 685,713.93 = 282,035.43 : x
  2. Step 2: Convert to fraction form
    496,891.78/685,713.93 = 282,035.43/x
  3. Step 3: Cross multiply
    496,891.78x = 685,713.93 × 282,035.43
  4. Step 4: Simplify right side
    496,891.78x = 193,395,623,104.54
  5. Step 5: Solve for x
    x = 193,395,623,104.54/496,891.78
  6. Step 6: Final answer
    x = 389,210.75

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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.