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Finding the Fourth Proportional to 491,714.84, 737,408.02 and 192,117.72

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Solution

The fourth proportional to 491,714.84, 737,408.02 and 192,117.72 is: 288,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,714.84 : 737,408.02 = 192,117.72 : x
  2. Step 2: Convert to fraction form
    491,714.84/737,408.02 = 192,117.72/x
  3. Step 3: Cross multiply
    491,714.84x = 737,408.02 × 192,117.72
  4. Step 4: Simplify right side
    491,714.84x = 141,669,147,512.11
  5. Step 5: Solve for x
    x = 141,669,147,512.11/491,714.84
  6. Step 6: Final answer
    x = 288,112.41

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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.