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Finding the Fourth Proportional to 309,053.22, 463,504.91 and 84,414.71

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Solution

The fourth proportional to 309,053.22, 463,504.91 and 84,414.71 is: 126,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,053.22 : 463,504.91 = 84,414.71 : x
  2. Step 2: Convert to fraction form
    309,053.22/463,504.91 = 84,414.71/x
  3. Step 3: Cross multiply
    309,053.22x = 463,504.91 × 84,414.71
  4. Step 4: Simplify right side
    309,053.22x = 39,126,629,821.63
  5. Step 5: Solve for x
    x = 39,126,629,821.63/309,053.22
  6. Step 6: Final answer
    x = 126,601.59

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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.