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Finding the Fourth Proportional to 605,410.20, 908,082.36 and 184,653

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Solution

The fourth proportional to 605,410.20, 908,082.36 and 184,653 is: 276,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,410.20 : 908,082.36 = 184,653 : x
  2. Step 2: Convert to fraction form
    605,410.20/908,082.36 = 184,653/x
  3. Step 3: Cross multiply
    605,410.20x = 908,082.36 × 184,653
  4. Step 4: Simplify right side
    605,410.20x = 167,680,132,021.08
  5. Step 5: Solve for x
    x = 167,680,132,021.08/605,410.20
  6. Step 6: Final answer
    x = 276,969.45

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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.