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Finding the Fourth Proportional to 512,136.64, 706,678.32 and 285,738.40

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Solution

The fourth proportional to 512,136.64, 706,678.32 and 285,738.40 is: 394,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,136.64 : 706,678.32 = 285,738.40 : x
  2. Step 2: Convert to fraction form
    512,136.64/706,678.32 = 285,738.40/x
  3. Step 3: Cross multiply
    512,136.64x = 706,678.32 × 285,738.40
  4. Step 4: Simplify right side
    512,136.64x = 201,925,132,471.49
  5. Step 5: Solve for x
    x = 201,925,132,471.49/512,136.64
  6. Step 6: Final answer
    x = 394,279.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.