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Finding the Fourth Proportional to 320,600.84, 442,462.38 and 184,639.64

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Solution

The fourth proportional to 320,600.84, 442,462.38 and 184,639.64 is: 254,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,600.84 : 442,462.38 = 184,639.64 : x
  2. Step 2: Convert to fraction form
    320,600.84/442,462.38 = 184,639.64/x
  3. Step 3: Cross multiply
    320,600.84x = 442,462.38 × 184,639.64
  4. Step 4: Simplify right side
    320,600.84x = 81,696,094,556.74
  5. Step 5: Solve for x
    x = 81,696,094,556.74/320,600.84
  6. Step 6: Final answer
    x = 254,821.84

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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.