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Finding the Fourth Proportional to 320,191.92, 480,300.84 and 120,491.28

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Solution

The fourth proportional to 320,191.92, 480,300.84 and 120,491.28 is: 180,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,191.92 : 480,300.84 = 120,491.28 : x
  2. Step 2: Convert to fraction form
    320,191.92/480,300.84 = 120,491.28/x
  3. Step 3: Cross multiply
    320,191.92x = 480,300.84 × 120,491.28
  4. Step 4: Simplify right side
    320,191.92x = 57,872,062,996.68
  5. Step 5: Solve for x
    x = 57,872,062,996.68/320,191.92
  6. Step 6: Final answer
    x = 180,741.80

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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.