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Finding the Fourth Proportional to 497,241.97, 686,013.99 and 325,258.03

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Solution

The fourth proportional to 497,241.97, 686,013.99 and 325,258.03 is: 448,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,241.97 : 686,013.99 = 325,258.03 : x
  2. Step 2: Convert to fraction form
    497,241.97/686,013.99 = 325,258.03/x
  3. Step 3: Cross multiply
    497,241.97x = 686,013.99 × 325,258.03
  4. Step 4: Simplify right side
    497,241.97x = 223,131,558,939.84
  5. Step 5: Solve for x
    x = 223,131,558,939.84/497,241.97
  6. Step 6: Final answer
    x = 448,738.39

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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.