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Finding the Fourth Proportional to 339,734.40, 509,601.60 and 302,992.80

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Solution

The fourth proportional to 339,734.40, 509,601.60 and 302,992.80 is: 454,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,734.40 : 509,601.60 = 302,992.80 : x
  2. Step 2: Convert to fraction form
    339,734.40/509,601.60 = 302,992.80/x
  3. Step 3: Cross multiply
    339,734.40x = 509,601.60 × 302,992.80
  4. Step 4: Simplify right side
    339,734.40x = 154,405,615,668.48
  5. Step 5: Solve for x
    x = 154,405,615,668.48/339,734.40
  6. Step 6: Final answer
    x = 454,489.20

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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.