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Finding the Fourth Proportional to 347,755.70, 522,022.35 and 269,218.10

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Solution

The fourth proportional to 347,755.70, 522,022.35 and 269,218.10 is: 404,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,755.70 : 522,022.35 = 269,218.10 : x
  2. Step 2: Convert to fraction form
    347,755.70/522,022.35 = 269,218.10/x
  3. Step 3: Cross multiply
    347,755.70x = 522,022.35 × 269,218.10
  4. Step 4: Simplify right side
    347,755.70x = 140,537,865,224.54
  5. Step 5: Solve for x
    x = 140,537,865,224.54/347,755.70
  6. Step 6: Final answer
    x = 404,128.14

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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.