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Finding the Fourth Proportional to 587,343.80, 823,940.20 and 587,343.80

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Solution

The fourth proportional to 587,343.80, 823,940.20 and 587,343.80 is: 823,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,343.80 : 823,940.20 = 587,343.80 : x
  2. Step 2: Convert to fraction form
    587,343.80/823,940.20 = 587,343.80/x
  3. Step 3: Cross multiply
    587,343.80x = 823,940.20 × 587,343.80
  4. Step 4: Simplify right side
    587,343.80x = 483,936,168,040.76
  5. Step 5: Solve for x
    x = 483,936,168,040.76/587,343.80
  6. Step 6: Final answer
    x = 823,940.20

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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.