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Finding the Fourth Proportional to 320,727.66, 442,598.53 and 184,761.20

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Solution

The fourth proportional to 320,727.66, 442,598.53 and 184,761.20 is: 254,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,727.66 : 442,598.53 = 184,761.20 : x
  2. Step 2: Convert to fraction form
    320,727.66/442,598.53 = 184,761.20/x
  3. Step 3: Cross multiply
    320,727.66x = 442,598.53 × 184,761.20
  4. Step 4: Simplify right side
    320,727.66x = 81,775,032,846.14
  5. Step 5: Solve for x
    x = 81,775,032,846.14/320,727.66
  6. Step 6: Final answer
    x = 254,967.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.