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Finding the Fourth Proportional to 510,757.21, 704,817.75 and 292,954.69

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Solution

The fourth proportional to 510,757.21, 704,817.75 and 292,954.69 is: 404,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,757.21 : 704,817.75 = 292,954.69 : x
  2. Step 2: Convert to fraction form
    510,757.21/704,817.75 = 292,954.69/x
  3. Step 3: Cross multiply
    510,757.21x = 704,817.75 × 292,954.69
  4. Step 4: Simplify right side
    510,757.21x = 206,479,665,457.75
  5. Step 5: Solve for x
    x = 206,479,665,457.75/510,757.21
  6. Step 6: Final answer
    x = 404,261.87

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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.