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Finding the Fourth Proportional to 274,114.50, 411,232.23 and 116,477.70

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Solution

The fourth proportional to 274,114.50, 411,232.23 and 116,477.70 is: 174,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,114.50 : 411,232.23 = 116,477.70 : x
  2. Step 2: Convert to fraction form
    274,114.50/411,232.23 = 116,477.70/x
  3. Step 3: Cross multiply
    274,114.50x = 411,232.23 × 116,477.70
  4. Step 4: Simplify right side
    274,114.50x = 47,899,384,316.27
  5. Step 5: Solve for x
    x = 47,899,384,316.27/274,114.50
  6. Step 6: Final answer
    x = 174,742.25

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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.