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Finding the Fourth Proportional to 512,964.70, 769,447.05 and 470,974.30

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Solution

The fourth proportional to 512,964.70, 769,447.05 and 470,974.30 is: 706,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,964.70 : 769,447.05 = 470,974.30 : x
  2. Step 2: Convert to fraction form
    512,964.70/769,447.05 = 470,974.30/x
  3. Step 3: Cross multiply
    512,964.70x = 769,447.05 × 470,974.30
  4. Step 4: Simplify right side
    512,964.70x = 362,389,785,760.82
  5. Step 5: Solve for x
    x = 362,389,785,760.82/512,964.70
  6. Step 6: Final answer
    x = 706,461.45

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Double scale
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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.