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Finding the Fourth Proportional to 497,806.56, 686,977.20 and 271,451.52

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Solution

The fourth proportional to 497,806.56, 686,977.20 and 271,451.52 is: 374,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,806.56 : 686,977.20 = 271,451.52 : x
  2. Step 2: Convert to fraction form
    497,806.56/686,977.20 = 271,451.52/x
  3. Step 3: Cross multiply
    497,806.56x = 686,977.20 × 271,451.52
  4. Step 4: Simplify right side
    497,806.56x = 186,481,005,145.34
  5. Step 5: Solve for x
    x = 186,481,005,145.34/497,806.56
  6. Step 6: Final answer
    x = 374,605.36

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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.