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Finding the Fourth Proportional to 415,097.37, 622,733.54 and 134,592.75

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Solution

The fourth proportional to 415,097.37, 622,733.54 and 134,592.75 is: 201,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,097.37 : 622,733.54 = 134,592.75 : x
  2. Step 2: Convert to fraction form
    415,097.37/622,733.54 = 134,592.75/x
  3. Step 3: Cross multiply
    415,097.37x = 622,733.54 × 134,592.75
  4. Step 4: Simplify right side
    415,097.37x = 83,815,418,992.87
  5. Step 5: Solve for x
    x = 83,815,418,992.87/415,097.37
  6. Step 6: Final answer
    x = 201,917.49

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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.