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Finding the Fourth Proportional to 483,915.20, 725,872.80 and 406,932.80

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Solution

The fourth proportional to 483,915.20, 725,872.80 and 406,932.80 is: 610,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,915.20 : 725,872.80 = 406,932.80 : x
  2. Step 2: Convert to fraction form
    483,915.20/725,872.80 = 406,932.80/x
  3. Step 3: Cross multiply
    483,915.20x = 725,872.80 × 406,932.80
  4. Step 4: Simplify right side
    483,915.20x = 295,381,450,947.84
  5. Step 5: Solve for x
    x = 295,381,450,947.84/483,915.20
  6. Step 6: Final answer
    x = 610,399.20

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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.