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Finding the Fourth Proportional to 465,938.40, 641,408.16 and 344,851.44

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Solution

The fourth proportional to 465,938.40, 641,408.16 and 344,851.44 is: 474,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,938.40 : 641,408.16 = 344,851.44 : x
  2. Step 2: Convert to fraction form
    465,938.40/641,408.16 = 344,851.44/x
  3. Step 3: Cross multiply
    465,938.40x = 641,408.16 × 344,851.44
  4. Step 4: Simplify right side
    465,938.40x = 221,190,527,603.75
  5. Step 5: Solve for x
    x = 221,190,527,603.75/465,938.40
  6. Step 6: Final answer
    x = 474,720.54

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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.