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Finding the Fourth Proportional to 511,846.38, 706,350.46 and 282,403.66

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Solution

The fourth proportional to 511,846.38, 706,350.46 and 282,403.66 is: 389,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,846.38 : 706,350.46 = 282,403.66 : x
  2. Step 2: Convert to fraction form
    511,846.38/706,350.46 = 282,403.66/x
  3. Step 3: Cross multiply
    511,846.38x = 706,350.46 × 282,403.66
  4. Step 4: Simplify right side
    511,846.38x = 199,475,955,146.68
  5. Step 5: Solve for x
    x = 199,475,955,146.68/511,846.38
  6. Step 6: Final answer
    x = 389,718.41

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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.