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Finding the Fourth Proportional to 522,676.40, 784,409.16 and 382,797.68

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Solution

The fourth proportional to 522,676.40, 784,409.16 and 382,797.68 is: 574,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,676.40 : 784,409.16 = 382,797.68 : x
  2. Step 2: Convert to fraction form
    522,676.40/784,409.16 = 382,797.68/x
  3. Step 3: Cross multiply
    522,676.40x = 784,409.16 × 382,797.68
  4. Step 4: Simplify right side
    522,676.40x = 300,270,006,618.75
  5. Step 5: Solve for x
    x = 300,270,006,618.75/522,676.40
  6. Step 6: Final answer
    x = 574,485.49

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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.