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Finding the Fourth Proportional to 597,767.06, 824,907.89 and 325,837.31

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Solution

The fourth proportional to 597,767.06, 824,907.89 and 325,837.31 is: 449,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,767.06 : 824,907.89 = 325,837.31 : x
  2. Step 2: Convert to fraction form
    597,767.06/824,907.89 = 325,837.31/x
  3. Step 3: Cross multiply
    597,767.06x = 824,907.89 × 325,837.31
  4. Step 4: Simplify right side
    597,767.06x = 268,785,762,121.65
  5. Step 5: Solve for x
    x = 268,785,762,121.65/597,767.06
  6. Step 6: Final answer
    x = 449,649.68

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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.