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Finding the Fourth Proportional to 321,085.94, 481,610.46 and 96,441.40

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Solution

The fourth proportional to 321,085.94, 481,610.46 and 96,441.40 is: 144,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,085.94 : 481,610.46 = 96,441.40 : x
  2. Step 2: Convert to fraction form
    321,085.94/481,610.46 = 96,441.40/x
  3. Step 3: Cross multiply
    321,085.94x = 481,610.46 × 96,441.40
  4. Step 4: Simplify right side
    321,085.94x = 46,447,187,017.04
  5. Step 5: Solve for x
    x = 46,447,187,017.04/321,085.94
  6. Step 6: Final answer
    x = 144,656.56

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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.