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Finding the Fourth Proportional to 280,618.60, 420,927.90 and 83,626.60

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Solution

The fourth proportional to 280,618.60, 420,927.90 and 83,626.60 is: 125,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,618.60 : 420,927.90 = 83,626.60 : x
  2. Step 2: Convert to fraction form
    280,618.60/420,927.90 = 83,626.60/x
  3. Step 3: Cross multiply
    280,618.60x = 420,927.90 × 83,626.60
  4. Step 4: Simplify right side
    280,618.60x = 35,200,769,122.14
  5. Step 5: Solve for x
    x = 35,200,769,122.14/280,618.60
  6. Step 6: Final answer
    x = 125,439.90

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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.