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Finding the Fourth Proportional to 327,446.82, 451,875.94 and 184,206.98

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Solution

The fourth proportional to 327,446.82, 451,875.94 and 184,206.98 is: 254,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,446.82 : 451,875.94 = 184,206.98 : x
  2. Step 2: Convert to fraction form
    327,446.82/451,875.94 = 184,206.98/x
  3. Step 3: Cross multiply
    327,446.82x = 451,875.94 × 184,206.98
  4. Step 4: Simplify right side
    327,446.82x = 83,238,702,242.06
  5. Step 5: Solve for x
    x = 83,238,702,242.06/327,446.82
  6. Step 6: Final answer
    x = 254,205.25

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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.