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Finding the Fourth Proportional to 273,729.70, 410,315.10 and 184,992.18

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Solution

The fourth proportional to 273,729.70, 410,315.10 and 184,992.18 is: 277,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,729.70 : 410,315.10 = 184,992.18 : x
  2. Step 2: Convert to fraction form
    273,729.70/410,315.10 = 184,992.18/x
  3. Step 3: Cross multiply
    273,729.70x = 410,315.10 × 184,992.18
  4. Step 4: Simplify right side
    273,729.70x = 75,905,082,784.34
  5. Step 5: Solve for x
    x = 75,905,082,784.34/273,729.70
  6. Step 6: Final answer
    x = 277,299.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.