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Finding the Fourth Proportional to 339,564.80, 509,347.20 and 280,467.20

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Solution

The fourth proportional to 339,564.80, 509,347.20 and 280,467.20 is: 420,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,564.80 : 509,347.20 = 280,467.20 : x
  2. Step 2: Convert to fraction form
    339,564.80/509,347.20 = 280,467.20/x
  3. Step 3: Cross multiply
    339,564.80x = 509,347.20 × 280,467.20
  4. Step 4: Simplify right side
    339,564.80x = 142,855,183,011.84
  5. Step 5: Solve for x
    x = 142,855,183,011.84/339,564.80
  6. Step 6: Final answer
    x = 420,700.80

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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.