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Finding the Fourth Proportional to 411,954.80, 617,932.20 and 285,983.60

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Solution

The fourth proportional to 411,954.80, 617,932.20 and 285,983.60 is: 428,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,954.80 : 617,932.20 = 285,983.60 : x
  2. Step 2: Convert to fraction form
    411,954.80/617,932.20 = 285,983.60/x
  3. Step 3: Cross multiply
    411,954.80x = 617,932.20 × 285,983.60
  4. Step 4: Simplify right side
    411,954.80x = 176,718,475,111.92
  5. Step 5: Solve for x
    x = 176,718,475,111.92/411,954.80
  6. Step 6: Final answer
    x = 428,975.40

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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.