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Finding the Fourth Proportional to 597,668.74, 824,761.76 and 325,731.24

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Solution

The fourth proportional to 597,668.74, 824,761.76 and 325,731.24 is: 449,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,668.74 : 824,761.76 = 325,731.24 : x
  2. Step 2: Convert to fraction form
    597,668.74/824,761.76 = 325,731.24/x
  3. Step 3: Cross multiply
    597,668.74x = 824,761.76 × 325,731.24
  4. Step 4: Simplify right side
    597,668.74x = 268,650,670,789.38
  5. Step 5: Solve for x
    x = 268,650,670,789.38/597,668.74
  6. Step 6: Final answer
    x = 449,497.61

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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.