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Finding the Fourth Proportional to 512,412.60, 768,618.90 and 475,087.80

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Solution

The fourth proportional to 512,412.60, 768,618.90 and 475,087.80 is: 712,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,412.60 : 768,618.90 = 475,087.80 : x
  2. Step 2: Convert to fraction form
    512,412.60/768,618.90 = 475,087.80/x
  3. Step 3: Cross multiply
    512,412.60x = 768,618.90 × 475,087.80
  4. Step 4: Simplify right side
    512,412.60x = 365,161,462,239.42
  5. Step 5: Solve for x
    x = 365,161,462,239.42/512,412.60
  6. Step 6: Final answer
    x = 712,631.70

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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.