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Finding the Fourth Proportional to 291,674.25, 437,496.75 and 114,213.78

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Solution

The fourth proportional to 291,674.25, 437,496.75 and 114,213.78 is: 171,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,674.25 : 437,496.75 = 114,213.78 : x
  2. Step 2: Convert to fraction form
    291,674.25/437,496.75 = 114,213.78/x
  3. Step 3: Cross multiply
    291,674.25x = 437,496.75 × 114,213.78
  4. Step 4: Simplify right side
    291,674.25x = 49,968,157,555.22
  5. Step 5: Solve for x
    x = 49,968,157,555.22/291,674.25
  6. Step 6: Final answer
    x = 171,314.94

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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.