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Finding the Fourth Proportional to 320,950.34, 481,472.46 and 96,328.54

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Solution

The fourth proportional to 320,950.34, 481,472.46 and 96,328.54 is: 144,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,950.34 : 481,472.46 = 96,328.54 : x
  2. Step 2: Convert to fraction form
    320,950.34/481,472.46 = 96,328.54/x
  3. Step 3: Cross multiply
    320,950.34x = 481,472.46 × 96,328.54
  4. Step 4: Simplify right side
    320,950.34x = 46,379,539,122.01
  5. Step 5: Solve for x
    x = 46,379,539,122.01/320,950.34
  6. Step 6: Final answer
    x = 144,506.90

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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.