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Finding the Fourth Proportional to 512,159.70, 768,239.55 and 196,624.20

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Solution

The fourth proportional to 512,159.70, 768,239.55 and 196,624.20 is: 294,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,159.70 : 768,239.55 = 196,624.20 : x
  2. Step 2: Convert to fraction form
    512,159.70/768,239.55 = 196,624.20/x
  3. Step 3: Cross multiply
    512,159.70x = 768,239.55 × 196,624.20
  4. Step 4: Simplify right side
    512,159.70x = 151,054,486,927.11
  5. Step 5: Solve for x
    x = 151,054,486,927.11/512,159.70
  6. Step 6: Final answer
    x = 294,936.30

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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.