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Finding the Fourth Proportional to 413,251.24, 619,804.26 and 113,659.58

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Solution

The fourth proportional to 413,251.24, 619,804.26 and 113,659.58 is: 170,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,251.24 : 619,804.26 = 113,659.58 : x
  2. Step 2: Convert to fraction form
    413,251.24/619,804.26 = 113,659.58/x
  3. Step 3: Cross multiply
    413,251.24x = 619,804.26 × 113,659.58
  4. Step 4: Simplify right side
    413,251.24x = 70,446,691,873.81
  5. Step 5: Solve for x
    x = 70,446,691,873.81/413,251.24
  6. Step 6: Final answer
    x = 170,469.40

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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.