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Finding the Fourth Proportional to 513,043.80, 768,894.60 and 275,875.80

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Solution

The fourth proportional to 513,043.80, 768,894.60 and 275,875.80 is: 413,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,043.80 : 768,894.60 = 275,875.80 : x
  2. Step 2: Convert to fraction form
    513,043.80/768,894.60 = 275,875.80/x
  3. Step 3: Cross multiply
    513,043.80x = 768,894.60 × 275,875.80
  4. Step 4: Simplify right side
    513,043.80x = 212,119,412,890.68
  5. Step 5: Solve for x
    x = 212,119,412,890.68/513,043.80
  6. Step 6: Final answer
    x = 413,452.83

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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.