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Finding the Fourth Proportional to 280,082.80, 419,140.05 and 191,509.30

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Solution

The fourth proportional to 280,082.80, 419,140.05 and 191,509.30 is: 286,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,082.80 : 419,140.05 = 191,509.30 : x
  2. Step 2: Convert to fraction form
    280,082.80/419,140.05 = 191,509.30/x
  3. Step 3: Cross multiply
    280,082.80x = 419,140.05 × 191,509.30
  4. Step 4: Simplify right side
    280,082.80x = 80,269,217,577.47
  5. Step 5: Solve for x
    x = 80,269,217,577.47/280,082.80
  6. Step 6: Final answer
    x = 286,591.03

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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.