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Finding the Fourth Proportional to 523,114.10, 784,671.15 and 491,621.30

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Solution

The fourth proportional to 523,114.10, 784,671.15 and 491,621.30 is: 737,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,114.10 : 784,671.15 = 491,621.30 : x
  2. Step 2: Convert to fraction form
    523,114.10/784,671.15 = 491,621.30/x
  3. Step 3: Cross multiply
    523,114.10x = 784,671.15 × 491,621.30
  4. Step 4: Simplify right side
    523,114.10x = 385,761,050,835.50
  5. Step 5: Solve for x
    x = 385,761,050,835.50/523,114.10
  6. Step 6: Final answer
    x = 737,431.95

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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.