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Finding the Fourth Proportional to 597,610.98, 824,703.17 and 329,338.98

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Solution

The fourth proportional to 597,610.98, 824,703.17 and 329,338.98 is: 454,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,610.98 : 824,703.17 = 329,338.98 : x
  2. Step 2: Convert to fraction form
    597,610.98/824,703.17 = 329,338.98/x
  3. Step 3: Cross multiply
    597,610.98x = 824,703.17 × 329,338.98
  4. Step 4: Simplify right side
    597,610.98x = 271,606,899,163.87
  5. Step 5: Solve for x
    x = 271,606,899,163.87/597,610.98
  6. Step 6: Final answer
    x = 454,487.80

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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.