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Finding the Fourth Proportional to 587,986.20, 811,481.22 and 346,344.84

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Solution

The fourth proportional to 587,986.20, 811,481.22 and 346,344.84 is: 477,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,986.20 : 811,481.22 = 346,344.84 : x
  2. Step 2: Convert to fraction form
    587,986.20/811,481.22 = 346,344.84/x
  3. Step 3: Cross multiply
    587,986.20x = 811,481.22 × 346,344.84
  4. Step 4: Simplify right side
    587,986.20x = 281,052,333,303.91
  5. Step 5: Solve for x
    x = 281,052,333,303.91/587,986.20
  6. Step 6: Final answer
    x = 477,991.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.