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Finding the Fourth Proportional to 512,368.80, 768,581.23 and 212,879.66

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Solution

The fourth proportional to 512,368.80, 768,581.23 and 212,879.66 is: 319,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,368.80 : 768,581.23 = 212,879.66 : x
  2. Step 2: Convert to fraction form
    512,368.80/768,581.23 = 212,879.66/x
  3. Step 3: Cross multiply
    512,368.80x = 768,581.23 × 212,879.66
  4. Step 4: Simplify right side
    512,368.80x = 163,615,310,924.78
  5. Step 5: Solve for x
    x = 163,615,310,924.78/512,368.80
  6. Step 6: Final answer
    x = 319,331.14

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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.