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Finding the Fourth Proportional to 307,294.40, 460,757.28 and 120,082.88

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Solution

The fourth proportional to 307,294.40, 460,757.28 and 120,082.88 is: 180,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,294.40 : 460,757.28 = 120,082.88 : x
  2. Step 2: Convert to fraction form
    307,294.40/460,757.28 = 120,082.88/x
  3. Step 3: Cross multiply
    307,294.40x = 460,757.28 × 120,082.88
  4. Step 4: Simplify right side
    307,294.40x = 55,329,061,163.37
  5. Step 5: Solve for x
    x = 55,329,061,163.37/307,294.40
  6. Step 6: Final answer
    x = 180,052.29

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1.5x scale

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.