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Finding the Fourth Proportional to 320,473.82, 442,204.74 and 184,481.49

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Solution

The fourth proportional to 320,473.82, 442,204.74 and 184,481.49 is: 254,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,473.82 : 442,204.74 = 184,481.49 : x
  2. Step 2: Convert to fraction form
    320,473.82/442,204.74 = 184,481.49/x
  3. Step 3: Cross multiply
    320,473.82x = 442,204.74 × 184,481.49
  4. Step 4: Simplify right side
    320,473.82x = 81,578,586,186.83
  5. Step 5: Solve for x
    x = 81,578,586,186.83/320,473.82
  6. Step 6: Final answer
    x = 254,556.17

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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.