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Finding the Fourth Proportional to 597,574.62, 824,642.46 and 325,644.48

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Solution

The fourth proportional to 597,574.62, 824,642.46 and 325,644.48 is: 449,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,574.62 : 824,642.46 = 325,644.48 : x
  2. Step 2: Convert to fraction form
    597,574.62/824,642.46 = 325,644.48/x
  3. Step 3: Cross multiply
    597,574.62x = 824,642.46 × 325,644.48
  4. Step 4: Simplify right side
    597,574.62x = 268,540,265,072.62
  5. Step 5: Solve for x
    x = 268,540,265,072.62/597,574.62
  6. Step 6: Final answer
    x = 449,383.65

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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.