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Finding the Fourth Proportional to 474,668.83, 711,892.49 and 137,619.02

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Solution

The fourth proportional to 474,668.83, 711,892.49 and 137,619.02 is: 206,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,668.83 : 711,892.49 = 137,619.02 : x
  2. Step 2: Convert to fraction form
    474,668.83/711,892.49 = 137,619.02/x
  3. Step 3: Cross multiply
    474,668.83x = 711,892.49 × 137,619.02
  4. Step 4: Simplify right side
    474,668.83x = 97,969,946,819.16
  5. Step 5: Solve for x
    x = 97,969,946,819.16/474,668.83
  6. Step 6: Final answer
    x = 206,396.42

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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.