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Finding the Fourth Proportional to 522,944.10, 784,416.15 and 491,451.30

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Solution

The fourth proportional to 522,944.10, 784,416.15 and 491,451.30 is: 737,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,944.10 : 784,416.15 = 491,451.30 : x
  2. Step 2: Convert to fraction form
    522,944.10/784,416.15 = 491,451.30/x
  3. Step 3: Cross multiply
    522,944.10x = 784,416.15 × 491,451.30
  4. Step 4: Simplify right side
    522,944.10x = 385,502,336,658.50
  5. Step 5: Solve for x
    x = 385,502,336,658.50/522,944.10
  6. Step 6: Final answer
    x = 737,176.95

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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.