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Finding the Fourth Proportional to 474,324.22, 711,523.32 and 137,369.89

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Solution

The fourth proportional to 474,324.22, 711,523.32 and 137,369.89 is: 206,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,324.22 : 711,523.32 = 137,369.89 : x
  2. Step 2: Convert to fraction form
    474,324.22/711,523.32 = 137,369.89/x
  3. Step 3: Cross multiply
    474,324.22x = 711,523.32 × 137,369.89
  4. Step 4: Simplify right side
    474,324.22x = 97,741,880,200.83
  5. Step 5: Solve for x
    x = 97,741,880,200.83/474,324.22
  6. Step 6: Final answer
    x = 206,065.55

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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.