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Finding the Fourth Proportional to 508,796.88, 702,104.52 and 282,424.56

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Solution

The fourth proportional to 508,796.88, 702,104.52 and 282,424.56 is: 389,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,796.88 : 702,104.52 = 282,424.56 : x
  2. Step 2: Convert to fraction form
    508,796.88/702,104.52 = 282,424.56/x
  3. Step 3: Cross multiply
    508,796.88x = 702,104.52 × 282,424.56
  4. Step 4: Simplify right side
    508,796.88x = 198,291,560,135.01
  5. Step 5: Solve for x
    x = 198,291,560,135.01/508,796.88
  6. Step 6: Final answer
    x = 389,726.37

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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.