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Finding the Fourth Proportional to 597,451.96, 824,472.30 and 325,516.60

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Solution

The fourth proportional to 597,451.96, 824,472.30 and 325,516.60 is: 449,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,451.96 : 824,472.30 = 325,516.60 : x
  2. Step 2: Convert to fraction form
    597,451.96/824,472.30 = 325,516.60/x
  3. Step 3: Cross multiply
    597,451.96x = 824,472.30 × 325,516.60
  4. Step 4: Simplify right side
    597,451.96x = 268,379,419,890.18
  5. Step 5: Solve for x
    x = 268,379,419,890.18/597,451.96
  6. Step 6: Final answer
    x = 449,206.69

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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.