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Finding the Fourth Proportional to 415,138.25, 622,707.98 and 115,619.69

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Solution

The fourth proportional to 415,138.25, 622,707.98 and 115,619.69 is: 173,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,138.25 : 622,707.98 = 115,619.69 : x
  2. Step 2: Convert to fraction form
    415,138.25/622,707.98 = 115,619.69/x
  3. Step 3: Cross multiply
    415,138.25x = 622,707.98 × 115,619.69
  4. Step 4: Simplify right side
    415,138.25x = 71,997,299,916.49
  5. Step 5: Solve for x
    x = 71,997,299,916.49/415,138.25
  6. Step 6: Final answer
    x = 173,429.70

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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.