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Finding the Fourth Proportional to 320,814.70, 481,567.65 and 180,846.70

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Solution

The fourth proportional to 320,814.70, 481,567.65 and 180,846.70 is: 271,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,814.70 : 481,567.65 = 180,846.70 : x
  2. Step 2: Convert to fraction form
    320,814.70/481,567.65 = 180,846.70/x
  3. Step 3: Cross multiply
    320,814.70x = 481,567.65 × 180,846.70
  4. Step 4: Simplify right side
    320,814.70x = 87,089,920,329.26
  5. Step 5: Solve for x
    x = 87,089,920,329.26/320,814.70
  6. Step 6: Final answer
    x = 271,464.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.