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Finding the Fourth Proportional to 320,388.82, 480,583.26 and 120,754

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Solution

The fourth proportional to 320,388.82, 480,583.26 and 120,754 is: 181,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,388.82 : 480,583.26 = 120,754 : x
  2. Step 2: Convert to fraction form
    320,388.82/480,583.26 = 120,754/x
  3. Step 3: Cross multiply
    320,388.82x = 480,583.26 × 120,754
  4. Step 4: Simplify right side
    320,388.82x = 58,032,350,978.04
  5. Step 5: Solve for x
    x = 58,032,350,978.04/320,388.82
  6. Step 6: Final answer
    x = 181,131.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.