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Finding the Fourth Proportional to 411,954.30, 617,931.45 and 285,983.10

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Solution

The fourth proportional to 411,954.30, 617,931.45 and 285,983.10 is: 428,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,954.30 : 617,931.45 = 285,983.10 : x
  2. Step 2: Convert to fraction form
    411,954.30/617,931.45 = 285,983.10/x
  3. Step 3: Cross multiply
    411,954.30x = 617,931.45 × 285,983.10
  4. Step 4: Simplify right side
    411,954.30x = 176,717,951,658.50
  5. Step 5: Solve for x
    x = 176,717,951,658.50/411,954.30
  6. Step 6: Final answer
    x = 428,974.65

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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.