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Finding the Fourth Proportional to 329,597, 494,102.30 and 119,188.20

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Solution

The fourth proportional to 329,597, 494,102.30 and 119,188.20 is: 178,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,597 : 494,102.30 = 119,188.20 : x
  2. Step 2: Convert to fraction form
    329,597/494,102.30 = 119,188.20/x
  3. Step 3: Cross multiply
    329,597x = 494,102.30 × 119,188.20
  4. Step 4: Simplify right side
    329,597x = 58,891,163,752.86
  5. Step 5: Solve for x
    x = 58,891,163,752.86/329,597
  6. Step 6: Final answer
    x = 178,676.27

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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.