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Finding the Fourth Proportional to 320,473.84, 442,204.77 and 184,481.51

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Solution

The fourth proportional to 320,473.84, 442,204.77 and 184,481.51 is: 254,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,473.84 : 442,204.77 = 184,481.51 : x
  2. Step 2: Convert to fraction form
    320,473.84/442,204.77 = 184,481.51/x
  3. Step 3: Cross multiply
    320,473.84x = 442,204.77 × 184,481.51
  4. Step 4: Simplify right side
    320,473.84x = 81,578,604,666.99
  5. Step 5: Solve for x
    x = 81,578,604,666.99/320,473.84
  6. Step 6: Final answer
    x = 254,556.20

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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.