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Finding the Fourth Proportional to 377,296, 565,947.84 and 114,640

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Solution

The fourth proportional to 377,296, 565,947.84 and 114,640 is: 171,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,296 : 565,947.84 = 114,640 : x
  2. Step 2: Convert to fraction form
    377,296/565,947.84 = 114,640/x
  3. Step 3: Cross multiply
    377,296x = 565,947.84 × 114,640
  4. Step 4: Simplify right side
    377,296x = 64,880,260,377.60
  5. Step 5: Solve for x
    x = 64,880,260,377.60/377,296
  6. Step 6: Final answer
    x = 171,961.17

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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.