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Finding the Fourth Proportional to 597,695.76, 824,796.20 and 325,757.97

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Solution

The fourth proportional to 597,695.76, 824,796.20 and 325,757.97 is: 449,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,695.76 : 824,796.20 = 325,757.97 : x
  2. Step 2: Convert to fraction form
    597,695.76/824,796.20 = 325,757.97/x
  3. Step 3: Cross multiply
    597,695.76x = 824,796.20 × 325,757.97
  4. Step 4: Simplify right side
    597,695.76x = 268,683,936,590.11
  5. Step 5: Solve for x
    x = 268,683,936,590.11/597,695.76
  6. Step 6: Final answer
    x = 449,532.95

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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.