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Finding the Fourth Proportional to 512,233.10, 768,349.65 and 263,401.10

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Solution

The fourth proportional to 512,233.10, 768,349.65 and 263,401.10 is: 395,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,233.10 : 768,349.65 = 263,401.10 : x
  2. Step 2: Convert to fraction form
    512,233.10/768,349.65 = 263,401.10/x
  3. Step 3: Cross multiply
    512,233.10x = 768,349.65 × 263,401.10
  4. Step 4: Simplify right side
    512,233.10x = 202,384,142,994.62
  5. Step 5: Solve for x
    x = 202,384,142,994.62/512,233.10
  6. Step 6: Final answer
    x = 395,101.65

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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.