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Finding the Fourth Proportional to 320,832.24, 480,977.76 and 202,242.24

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Solution

The fourth proportional to 320,832.24, 480,977.76 and 202,242.24 is: 303,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,832.24 : 480,977.76 = 202,242.24 : x
  2. Step 2: Convert to fraction form
    320,832.24/480,977.76 = 202,242.24/x
  3. Step 3: Cross multiply
    320,832.24x = 480,977.76 × 202,242.24
  4. Step 4: Simplify right side
    320,832.24x = 97,274,019,572.58
  5. Step 5: Solve for x
    x = 97,274,019,572.58/320,832.24
  6. Step 6: Final answer
    x = 303,192.78

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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.