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Finding the Fourth Proportional to 320,647.82, 442,365.44 and 184,608.86

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Solution

The fourth proportional to 320,647.82, 442,365.44 and 184,608.86 is: 254,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,647.82 : 442,365.44 = 184,608.86 : x
  2. Step 2: Convert to fraction form
    320,647.82/442,365.44 = 184,608.86/x
  3. Step 3: Cross multiply
    320,647.82x = 442,365.44 × 184,608.86
  4. Step 4: Simplify right side
    320,647.82x = 81,664,576,446.93
  5. Step 5: Solve for x
    x = 81,664,576,446.93/320,647.82
  6. Step 6: Final answer
    x = 254,686.21

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1.5x scale

Why These Related Problems?

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