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Finding the Fourth Proportional to 597,282.80, 824,250.24 and 329,010.80

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Solution

The fourth proportional to 597,282.80, 824,250.24 and 329,010.80 is: 454,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,282.80 : 824,250.24 = 329,010.80 : x
  2. Step 2: Convert to fraction form
    597,282.80/824,250.24 = 329,010.80/x
  3. Step 3: Cross multiply
    597,282.80x = 824,250.24 × 329,010.80
  4. Step 4: Simplify right side
    597,282.80x = 271,187,230,862.59
  5. Step 5: Solve for x
    x = 271,187,230,862.59/597,282.80
  6. Step 6: Final answer
    x = 454,034.89

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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.