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Finding the Fourth Proportional to 411,947.80, 617,921.70 and 285,976.60

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Solution

The fourth proportional to 411,947.80, 617,921.70 and 285,976.60 is: 428,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,947.80 : 617,921.70 = 285,976.60 : x
  2. Step 2: Convert to fraction form
    411,947.80/617,921.70 = 285,976.60/x
  3. Step 3: Cross multiply
    411,947.80x = 617,921.70 × 285,976.60
  4. Step 4: Simplify right side
    411,947.80x = 176,711,146,832.22
  5. Step 5: Solve for x
    x = 176,711,146,832.22/411,947.80
  6. Step 6: Final answer
    x = 428,964.90

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Similar ratio
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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.