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Finding the Fourth Proportional to 320,687.13, 480,895.34 and 96,079.48

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Solution

The fourth proportional to 320,687.13, 480,895.34 and 96,079.48 is: 144,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,687.13 : 480,895.34 = 96,079.48 : x
  2. Step 2: Convert to fraction form
    320,687.13/480,895.34 = 96,079.48/x
  3. Step 3: Cross multiply
    320,687.13x = 480,895.34 × 96,079.48
  4. Step 4: Simplify right side
    320,687.13x = 46,204,175,644.06
  5. Step 5: Solve for x
    x = 46,204,175,644.06/320,687.13
  6. Step 6: Final answer
    x = 144,078.67

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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.