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Finding the Fourth Proportional to 597,765.74, 824,891.90 and 325,827.65

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Solution

The fourth proportional to 597,765.74, 824,891.90 and 325,827.65 is: 449,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,765.74 : 824,891.90 = 325,827.65 : x
  2. Step 2: Convert to fraction form
    597,765.74/824,891.90 = 325,827.65/x
  3. Step 3: Cross multiply
    597,765.74x = 824,891.90 × 325,827.65
  4. Step 4: Simplify right side
    597,765.74x = 268,772,589,281.04
  5. Step 5: Solve for x
    x = 268,772,589,281.04/597,765.74
  6. Step 6: Final answer
    x = 449,628.63

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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.