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Finding the Fourth Proportional to 412,664.10, 618,996.15 and 341,805.30

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Solution

The fourth proportional to 412,664.10, 618,996.15 and 341,805.30 is: 512,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,664.10 : 618,996.15 = 341,805.30 : x
  2. Step 2: Convert to fraction form
    412,664.10/618,996.15 = 341,805.30/x
  3. Step 3: Cross multiply
    412,664.10x = 618,996.15 × 341,805.30
  4. Step 4: Simplify right side
    412,664.10x = 211,576,164,749.60
  5. Step 5: Solve for x
    x = 211,576,164,749.60/412,664.10
  6. Step 6: Final answer
    x = 512,707.95

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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.