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Finding the Fourth Proportional to 656,156.20, 984,234.30 and 406,978.60

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Solution

The fourth proportional to 656,156.20, 984,234.30 and 406,978.60 is: 610,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,156.20 : 984,234.30 = 406,978.60 : x
  2. Step 2: Convert to fraction form
    656,156.20/984,234.30 = 406,978.60/x
  3. Step 3: Cross multiply
    656,156.20x = 984,234.30 × 406,978.60
  4. Step 4: Simplify right side
    656,156.20x = 400,562,297,485.98
  5. Step 5: Solve for x
    x = 400,562,297,485.98/656,156.20
  6. Step 6: Final answer
    x = 610,467.90

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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.