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Finding the Fourth Proportional to 597,546.81, 824,614.70 and 325,614.83

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Solution

The fourth proportional to 597,546.81, 824,614.70 and 325,614.83 is: 449,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,546.81 : 824,614.70 = 325,614.83 : x
  2. Step 2: Convert to fraction form
    597,546.81/824,614.70 = 325,614.83/x
  3. Step 3: Cross multiply
    597,546.81x = 824,614.70 × 325,614.83
  4. Step 4: Simplify right side
    597,546.81x = 268,506,769,604.85
  5. Step 5: Solve for x
    x = 268,506,769,604.85/597,546.81
  6. Step 6: Final answer
    x = 449,348.51

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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.