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Finding the Fourth Proportional to 523,839.30, 784,592.55 and 453,855.30

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Solution

The fourth proportional to 523,839.30, 784,592.55 and 453,855.30 is: 679,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,839.30 : 784,592.55 = 453,855.30 : x
  2. Step 2: Convert to fraction form
    523,839.30/784,592.55 = 453,855.30/x
  3. Step 3: Cross multiply
    523,839.30x = 784,592.55 × 453,855.30
  4. Step 4: Simplify right side
    523,839.30x = 356,091,487,158.02
  5. Step 5: Solve for x
    x = 356,091,487,158.02/523,839.30
  6. Step 6: Final answer
    x = 679,772.38

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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.