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Finding the Fourth Proportional to 413,245.28, 619,867.44 and 113,727.44

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Solution

The fourth proportional to 413,245.28, 619,867.44 and 113,727.44 is: 170,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,245.28 : 619,867.44 = 113,727.44 : x
  2. Step 2: Convert to fraction form
    413,245.28/619,867.44 = 113,727.44/x
  3. Step 3: Cross multiply
    413,245.28x = 619,867.44 × 113,727.44
  4. Step 4: Simplify right side
    413,245.28x = 70,495,937,090.55
  5. Step 5: Solve for x
    x = 70,495,937,090.55/413,245.28
  6. Step 6: Final answer
    x = 170,591.03

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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.