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Finding the Fourth Proportional to 587,196.40, 823,941.20 and 587,196.40

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Solution

The fourth proportional to 587,196.40, 823,941.20 and 587,196.40 is: 823,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,196.40 : 823,941.20 = 587,196.40 : x
  2. Step 2: Convert to fraction form
    587,196.40/823,941.20 = 587,196.40/x
  3. Step 3: Cross multiply
    587,196.40x = 823,941.20 × 587,196.40
  4. Step 4: Simplify right side
    587,196.40x = 483,815,306,451.68
  5. Step 5: Solve for x
    x = 483,815,306,451.68/587,196.40
  6. Step 6: Final answer
    x = 823,941.20

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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.