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Finding the Fourth Proportional to 587,846.42, 811,234.87 and 326,207.10

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Solution

The fourth proportional to 587,846.42, 811,234.87 and 326,207.10 is: 450,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,846.42 : 811,234.87 = 326,207.10 : x
  2. Step 2: Convert to fraction form
    587,846.42/811,234.87 = 326,207.10/x
  3. Step 3: Cross multiply
    587,846.42x = 811,234.87 × 326,207.10
  4. Step 4: Simplify right side
    587,846.42x = 264,630,568,674.37
  5. Step 5: Solve for x
    x = 264,630,568,674.37/587,846.42
  6. Step 6: Final answer
    x = 450,169.57

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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.