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Finding the Fourth Proportional to 587,197.40, 823,942.60 and 587,197.40

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Solution

The fourth proportional to 587,197.40, 823,942.60 and 587,197.40 is: 823,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,197.40 : 823,942.60 = 587,197.40 : x
  2. Step 2: Convert to fraction form
    587,197.40/823,942.60 = 587,197.40/x
  3. Step 3: Cross multiply
    587,197.40x = 823,942.60 × 587,197.40
  4. Step 4: Simplify right side
    587,197.40x = 483,816,952,469.24
  5. Step 5: Solve for x
    x = 483,816,952,469.24/587,197.40
  6. Step 6: Final answer
    x = 823,942.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.