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Finding the Fourth Proportional to 597,600.82, 824,689.30 and 325,668.78

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Solution

The fourth proportional to 597,600.82, 824,689.30 and 325,668.78 is: 449,423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,600.82 : 824,689.30 = 325,668.78 : x
  2. Step 2: Convert to fraction form
    597,600.82/824,689.30 = 325,668.78/x
  3. Step 3: Cross multiply
    597,600.82x = 824,689.30 × 325,668.78
  4. Step 4: Simplify right side
    597,600.82x = 268,575,558,210.05
  5. Step 5: Solve for x
    x = 268,575,558,210.05/597,600.82
  6. Step 6: Final answer
    x = 449,423.01

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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.