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Finding the Fourth Proportional to 567,621.24, 783,453.78 and 341,223

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Solution

The fourth proportional to 567,621.24, 783,453.78 and 341,223 is: 470,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,621.24 : 783,453.78 = 341,223 : x
  2. Step 2: Convert to fraction form
    567,621.24/783,453.78 = 341,223/x
  3. Step 3: Cross multiply
    567,621.24x = 783,453.78 × 341,223
  4. Step 4: Simplify right side
    567,621.24x = 267,332,449,172.94
  5. Step 5: Solve for x
    x = 267,332,449,172.94/567,621.24
  6. Step 6: Final answer
    x = 470,969.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.