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Finding the Fourth Proportional to 587,181.40, 823,920.20 and 587,181.40

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Solution

The fourth proportional to 587,181.40, 823,920.20 and 587,181.40 is: 823,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,181.40 : 823,920.20 = 587,181.40 : x
  2. Step 2: Convert to fraction form
    587,181.40/823,920.20 = 587,181.40/x
  3. Step 3: Cross multiply
    587,181.40x = 823,920.20 × 587,181.40
  4. Step 4: Simplify right side
    587,181.40x = 483,790,616,524.28
  5. Step 5: Solve for x
    x = 483,790,616,524.28/587,181.40
  6. Step 6: Final answer
    x = 823,920.20

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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.