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Finding the Fourth Proportional to 484,817.40, 726,351.30 and 428,830.20

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Solution

The fourth proportional to 484,817.40, 726,351.30 and 428,830.20 is: 642,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,817.40 : 726,351.30 = 428,830.20 : x
  2. Step 2: Convert to fraction form
    484,817.40/726,351.30 = 428,830.20/x
  3. Step 3: Cross multiply
    484,817.40x = 726,351.30 × 428,830.20
  4. Step 4: Simplify right side
    484,817.40x = 311,481,373,249.26
  5. Step 5: Solve for x
    x = 311,481,373,249.26/484,817.40
  6. Step 6: Final answer
    x = 642,471.52

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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.