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Finding the Fourth Proportional to 470,974.40, 706,000.80 and 246,449.60

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Solution

The fourth proportional to 470,974.40, 706,000.80 and 246,449.60 is: 369,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,974.40 : 706,000.80 = 246,449.60 : x
  2. Step 2: Convert to fraction form
    470,974.40/706,000.80 = 246,449.60/x
  3. Step 3: Cross multiply
    470,974.40x = 706,000.80 × 246,449.60
  4. Step 4: Simplify right side
    470,974.40x = 173,993,614,759.68
  5. Step 5: Solve for x
    x = 173,993,614,759.68/470,974.40
  6. Step 6: Final answer
    x = 369,433.27

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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.