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Finding the Fourth Proportional to 320,812.84, 442,768.38 and 184,820.32

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Solution

The fourth proportional to 320,812.84, 442,768.38 and 184,820.32 is: 255,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,812.84 : 442,768.38 = 184,820.32 : x
  2. Step 2: Convert to fraction form
    320,812.84/442,768.38 = 184,820.32/x
  3. Step 3: Cross multiply
    320,812.84x = 442,768.38 × 184,820.32
  4. Step 4: Simplify right side
    320,812.84x = 81,832,593,677.48
  5. Step 5: Solve for x
    x = 81,832,593,677.48/320,812.84
  6. Step 6: Final answer
    x = 255,078.92

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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.