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Finding the Fourth Proportional to 434,906.20, 652,359.30 and 419,159.80

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Solution

The fourth proportional to 434,906.20, 652,359.30 and 419,159.80 is: 628,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,906.20 : 652,359.30 = 419,159.80 : x
  2. Step 2: Convert to fraction form
    434,906.20/652,359.30 = 419,159.80/x
  3. Step 3: Cross multiply
    434,906.20x = 652,359.30 × 419,159.80
  4. Step 4: Simplify right side
    434,906.20x = 273,442,793,716.14
  5. Step 5: Solve for x
    x = 273,442,793,716.14/434,906.20
  6. Step 6: Final answer
    x = 628,739.70

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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.