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Finding the Fourth Proportional to 512,370.80, 768,584.23 and 212,881.66

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Solution

The fourth proportional to 512,370.80, 768,584.23 and 212,881.66 is: 319,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,370.80 : 768,584.23 = 212,881.66 : x
  2. Step 2: Convert to fraction form
    512,370.80/768,584.23 = 212,881.66/x
  3. Step 3: Cross multiply
    512,370.80x = 768,584.23 × 212,881.66
  4. Step 4: Simplify right side
    512,370.80x = 163,617,486,732.22
  5. Step 5: Solve for x
    x = 163,617,486,732.22/512,370.80
  6. Step 6: Final answer
    x = 319,334.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.