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Finding the Fourth Proportional to 397,031.49, 595,484.51 and 329,993.91

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Solution

The fourth proportional to 397,031.49, 595,484.51 and 329,993.91 is: 494,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,031.49 : 595,484.51 = 329,993.91 : x
  2. Step 2: Convert to fraction form
    397,031.49/595,484.51 = 329,993.91/x
  3. Step 3: Cross multiply
    397,031.49x = 595,484.51 × 329,993.91
  4. Step 4: Simplify right side
    397,031.49x = 196,506,260,149.37
  5. Step 5: Solve for x
    x = 196,506,260,149.37/397,031.49
  6. Step 6: Final answer
    x = 494,938.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.