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Finding the Fourth Proportional to 320,914.66, 442,908.87 and 184,922.14

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Solution

The fourth proportional to 320,914.66, 442,908.87 and 184,922.14 is: 255,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,914.66 : 442,908.87 = 184,922.14 : x
  2. Step 2: Convert to fraction form
    320,914.66/442,908.87 = 184,922.14/x
  3. Step 3: Cross multiply
    320,914.66x = 442,908.87 × 184,922.14
  4. Step 4: Simplify right side
    320,914.66x = 81,903,656,065.38
  5. Step 5: Solve for x
    x = 81,903,656,065.38/320,914.66
  6. Step 6: Final answer
    x = 255,219.43

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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.