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Finding the Fourth Proportional to 470,793.45, 706,190.19 and 411,744.45

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Solution

The fourth proportional to 470,793.45, 706,190.19 and 411,744.45 is: 617,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,793.45 : 706,190.19 = 411,744.45 : x
  2. Step 2: Convert to fraction form
    470,793.45/706,190.19 = 411,744.45/x
  3. Step 3: Cross multiply
    470,793.45x = 706,190.19 × 411,744.45
  4. Step 4: Simplify right side
    470,793.45x = 290,769,891,376.95
  5. Step 5: Solve for x
    x = 290,769,891,376.95/470,793.45
  6. Step 6: Final answer
    x = 617,616.69

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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.