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Finding the Fourth Proportional to 339,582.80, 509,244.60 and 102,846.80

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Solution

The fourth proportional to 339,582.80, 509,244.60 and 102,846.80 is: 154,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,582.80 : 509,244.60 = 102,846.80 : x
  2. Step 2: Convert to fraction form
    339,582.80/509,244.60 = 102,846.80/x
  3. Step 3: Cross multiply
    339,582.80x = 509,244.60 × 102,846.80
  4. Step 4: Simplify right side
    339,582.80x = 52,374,177,527.28
  5. Step 5: Solve for x
    x = 52,374,177,527.28/339,582.80
  6. Step 6: Final answer
    x = 154,230.95

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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.