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Finding the Fourth Proportional to 475,927.45, 713,940.38 and 160,408.96

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Solution

The fourth proportional to 475,927.45, 713,940.38 and 160,408.96 is: 240,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,927.45 : 713,940.38 = 160,408.96 : x
  2. Step 2: Convert to fraction form
    475,927.45/713,940.38 = 160,408.96/x
  3. Step 3: Cross multiply
    475,927.45x = 713,940.38 × 160,408.96
  4. Step 4: Simplify right side
    475,927.45x = 114,522,431,872.44
  5. Step 5: Solve for x
    x = 114,522,431,872.44/475,927.45
  6. Step 6: Final answer
    x = 240,630.02

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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.