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Finding the Fourth Proportional to 597,617.50, 824,688.11 and 325,679.60

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Solution

The fourth proportional to 597,617.50, 824,688.11 and 325,679.60 is: 449,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,617.50 : 824,688.11 = 325,679.60 : x
  2. Step 2: Convert to fraction form
    597,617.50/824,688.11 = 325,679.60/x
  3. Step 3: Cross multiply
    597,617.50x = 824,688.11 × 325,679.60
  4. Step 4: Simplify right side
    597,617.50x = 268,584,093,789.56
  5. Step 5: Solve for x
    x = 268,584,093,789.56/597,617.50
  6. Step 6: Final answer
    x = 449,424.75

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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.