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Finding the Fourth Proportional to 597,708.92, 824,814.26 and 325,771

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Solution

The fourth proportional to 597,708.92, 824,814.26 and 325,771 is: 449,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,708.92 : 824,814.26 = 325,771 : x
  2. Step 2: Convert to fraction form
    597,708.92/824,814.26 = 325,771/x
  3. Step 3: Cross multiply
    597,708.92x = 824,814.26 × 325,771
  4. Step 4: Simplify right side
    597,708.92x = 268,700,566,294.46
  5. Step 5: Solve for x
    x = 268,700,566,294.46/597,708.92
  6. Step 6: Final answer
    x = 449,550.87

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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.