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Finding the Fourth Proportional to 415,186.26, 622,779.96 and 115,667.70

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Solution

The fourth proportional to 415,186.26, 622,779.96 and 115,667.70 is: 173,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,186.26 : 622,779.96 = 115,667.70 : x
  2. Step 2: Convert to fraction form
    415,186.26/622,779.96 = 115,667.70/x
  3. Step 3: Cross multiply
    415,186.26x = 622,779.96 × 115,667.70
  4. Step 4: Simplify right side
    415,186.26x = 72,035,525,579.29
  5. Step 5: Solve for x
    x = 72,035,525,579.29/415,186.26
  6. Step 6: Final answer
    x = 173,501.71

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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.