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Finding the Fourth Proportional to 306,692.96, 460,082.64 and 106,984.22

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Solution

The fourth proportional to 306,692.96, 460,082.64 and 106,984.22 is: 160,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,692.96 : 460,082.64 = 106,984.22 : x
  2. Step 2: Convert to fraction form
    306,692.96/460,082.64 = 106,984.22/x
  3. Step 3: Cross multiply
    306,692.96x = 460,082.64 × 106,984.22
  4. Step 4: Simplify right side
    306,692.96x = 49,221,582,375.94
  5. Step 5: Solve for x
    x = 49,221,582,375.94/306,692.96
  6. Step 6: Final answer
    x = 160,491.40

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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.