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Finding the Fourth Proportional to 654,136.80, 981,205.20 and 512,419.20

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Solution

The fourth proportional to 654,136.80, 981,205.20 and 512,419.20 is: 768,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,136.80 : 981,205.20 = 512,419.20 : x
  2. Step 2: Convert to fraction form
    654,136.80/981,205.20 = 512,419.20/x
  3. Step 3: Cross multiply
    654,136.80x = 981,205.20 × 512,419.20
  4. Step 4: Simplify right side
    654,136.80x = 502,788,383,619.84
  5. Step 5: Solve for x
    x = 502,788,383,619.84/654,136.80
  6. Step 6: Final answer
    x = 768,628.80

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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.