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Finding the Fourth Proportional to 415,087.22, 622,631.29 and 115,568.46

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Solution

The fourth proportional to 415,087.22, 622,631.29 and 115,568.46 is: 173,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,087.22 : 622,631.29 = 115,568.46 : x
  2. Step 2: Convert to fraction form
    415,087.22/622,631.29 = 115,568.46/x
  3. Step 3: Cross multiply
    415,087.22x = 622,631.29 × 115,568.46
  4. Step 4: Simplify right side
    415,087.22x = 71,956,539,333.11
  5. Step 5: Solve for x
    x = 71,956,539,333.11/415,087.22
  6. Step 6: Final answer
    x = 173,352.82

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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.