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Finding the Fourth Proportional to 597,695.27, 824,820.09 and 325,763.38

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Solution

The fourth proportional to 597,695.27, 824,820.09 and 325,763.38 is: 449,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,695.27 : 824,820.09 = 325,763.38 : x
  2. Step 2: Convert to fraction form
    597,695.27/824,820.09 = 325,763.38/x
  3. Step 3: Cross multiply
    597,695.27x = 824,820.09 × 325,763.38
  4. Step 4: Simplify right side
    597,695.27x = 268,696,178,348.25
  5. Step 5: Solve for x
    x = 268,696,178,348.25/597,695.27
  6. Step 6: Final answer
    x = 449,553.80

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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.