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Finding the Fourth Proportional to 512,842.60, 769,406.10 and 213,464.20

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Solution

The fourth proportional to 512,842.60, 769,406.10 and 213,464.20 is: 320,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,842.60 : 769,406.10 = 213,464.20 : x
  2. Step 2: Convert to fraction form
    512,842.60/769,406.10 = 213,464.20/x
  3. Step 3: Cross multiply
    512,842.60x = 769,406.10 × 213,464.20
  4. Step 4: Simplify right side
    512,842.60x = 164,240,657,611.62
  5. Step 5: Solve for x
    x = 164,240,657,611.62/512,842.60
  6. Step 6: Final answer
    x = 320,255.49

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Double scale
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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.