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Finding the Fourth Proportional to 597,767.11, 824,906.30 and 325,832.65

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Solution

The fourth proportional to 597,767.11, 824,906.30 and 325,832.65 is: 449,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,767.11 : 824,906.30 = 325,832.65 : x
  2. Step 2: Convert to fraction form
    597,767.11/824,906.30 = 325,832.65/x
  3. Step 3: Cross multiply
    597,767.11x = 824,906.30 × 325,832.65
  4. Step 4: Simplify right side
    597,767.11x = 268,781,405,730.70
  5. Step 5: Solve for x
    x = 268,781,405,730.70/597,767.11
  6. Step 6: Final answer
    x = 449,642.35

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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.