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Finding the Fourth Proportional to 511,806, 706,292.28 and 285,451.68

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Solution

The fourth proportional to 511,806, 706,292.28 and 285,451.68 is: 393,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,806 : 706,292.28 = 285,451.68 : x
  2. Step 2: Convert to fraction form
    511,806/706,292.28 = 285,451.68/x
  3. Step 3: Cross multiply
    511,806x = 706,292.28 × 285,451.68
  4. Step 4: Simplify right side
    511,806x = 201,612,317,897.03
  5. Step 5: Solve for x
    x = 201,612,317,897.03/511,806
  6. Step 6: Final answer
    x = 393,923.32

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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.