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Finding the Fourth Proportional to 512,476.40, 768,714.60 and 228,166.40

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Solution

The fourth proportional to 512,476.40, 768,714.60 and 228,166.40 is: 342,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,476.40 : 768,714.60 = 228,166.40 : x
  2. Step 2: Convert to fraction form
    512,476.40/768,714.60 = 228,166.40/x
  3. Step 3: Cross multiply
    512,476.40x = 768,714.60 × 228,166.40
  4. Step 4: Simplify right side
    512,476.40x = 175,394,842,909.44
  5. Step 5: Solve for x
    x = 175,394,842,909.44/512,476.40
  6. Step 6: Final answer
    x = 342,249.60

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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.