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Finding the Fourth Proportional to 309,727.40, 465,627.90 and 264,108.20

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Solution

The fourth proportional to 309,727.40, 465,627.90 and 264,108.20 is: 397,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,727.40 : 465,627.90 = 264,108.20 : x
  2. Step 2: Convert to fraction form
    309,727.40/465,627.90 = 264,108.20/x
  3. Step 3: Cross multiply
    309,727.40x = 465,627.90 × 264,108.20
  4. Step 4: Simplify right side
    309,727.40x = 122,976,146,538.78
  5. Step 5: Solve for x
    x = 122,976,146,538.78/309,727.40
  6. Step 6: Final answer
    x = 397,046.39

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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.