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Finding the Fourth Proportional to 470,093.60, 705,140.40 and 449,616.80

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Solution

The fourth proportional to 470,093.60, 705,140.40 and 449,616.80 is: 674,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,093.60 : 705,140.40 = 449,616.80 : x
  2. Step 2: Convert to fraction form
    470,093.60/705,140.40 = 449,616.80/x
  3. Step 3: Cross multiply
    470,093.60x = 705,140.40 × 449,616.80
  4. Step 4: Simplify right side
    470,093.60x = 317,042,970,198.72
  5. Step 5: Solve for x
    x = 317,042,970,198.72/470,093.60
  6. Step 6: Final answer
    x = 674,425.20

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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.