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Finding the Fourth Proportional to 497,241.85, 686,013.82 and 325,257.89

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Solution

The fourth proportional to 497,241.85, 686,013.82 and 325,257.89 is: 448,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,241.85 : 686,013.82 = 325,257.89 : x
  2. Step 2: Convert to fraction form
    497,241.85/686,013.82 = 325,257.89/x
  3. Step 3: Cross multiply
    497,241.85x = 686,013.82 × 325,257.89
  4. Step 4: Simplify right side
    497,241.85x = 223,131,407,604.04
  5. Step 5: Solve for x
    x = 223,131,407,604.04/497,241.85
  6. Step 6: Final answer
    x = 448,738.19

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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.