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Finding the Fourth Proportional to 597,609.36, 824,701.02 and 325,677.30

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Solution

The fourth proportional to 597,609.36, 824,701.02 and 325,677.30 is: 449,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,609.36 : 824,701.02 = 325,677.30 : x
  2. Step 2: Convert to fraction form
    597,609.36/824,701.02 = 325,677.30/x
  3. Step 3: Cross multiply
    597,609.36x = 824,701.02 × 325,677.30
  4. Step 4: Simplify right side
    597,609.36x = 268,586,401,500.85
  5. Step 5: Solve for x
    x = 268,586,401,500.85/597,609.36
  6. Step 6: Final answer
    x = 449,434.73

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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.