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Finding the Fourth Proportional to 421,637.40, 582,032.70 and 285,857.28

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Solution

The fourth proportional to 421,637.40, 582,032.70 and 285,857.28 is: 394,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,637.40 : 582,032.70 = 285,857.28 : x
  2. Step 2: Convert to fraction form
    421,637.40/582,032.70 = 285,857.28/x
  3. Step 3: Cross multiply
    421,637.40x = 582,032.70 × 285,857.28
  4. Step 4: Simplify right side
    421,637.40x = 166,378,284,493.06
  5. Step 5: Solve for x
    x = 166,378,284,493.06/421,637.40
  6. Step 6: Final answer
    x = 394,600.39

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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.