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Finding the Fourth Proportional to 474,447.96, 711,708.41 and 137,493.22

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Solution

The fourth proportional to 474,447.96, 711,708.41 and 137,493.22 is: 206,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,447.96 : 711,708.41 = 137,493.22 : x
  2. Step 2: Convert to fraction form
    474,447.96/711,708.41 = 137,493.22/x
  3. Step 3: Cross multiply
    474,447.96x = 711,708.41 × 137,493.22
  4. Step 4: Simplify right side
    474,447.96x = 97,855,080,991.98
  5. Step 5: Solve for x
    x = 97,855,080,991.98/474,447.96
  6. Step 6: Final answer
    x = 206,250.40

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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.