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Finding the Fourth Proportional to 523,310.40, 784,159.20 and 389,563.20

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Solution

The fourth proportional to 523,310.40, 784,159.20 and 389,563.20 is: 583,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,310.40 : 784,159.20 = 389,563.20 : x
  2. Step 2: Convert to fraction form
    523,310.40/784,159.20 = 389,563.20/x
  3. Step 3: Cross multiply
    523,310.40x = 784,159.20 × 389,563.20
  4. Step 4: Simplify right side
    523,310.40x = 305,479,567,261.44
  5. Step 5: Solve for x
    x = 305,479,567,261.44/523,310.40
  6. Step 6: Final answer
    x = 583,744.50

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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.