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Finding the Fourth Proportional to 512,474.20, 768,711.30 and 291,290.20

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Solution

The fourth proportional to 512,474.20, 768,711.30 and 291,290.20 is: 436,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,474.20 : 768,711.30 = 291,290.20 : x
  2. Step 2: Convert to fraction form
    512,474.20/768,711.30 = 291,290.20/x
  3. Step 3: Cross multiply
    512,474.20x = 768,711.30 × 291,290.20
  4. Step 4: Simplify right side
    512,474.20x = 223,918,068,319.26
  5. Step 5: Solve for x
    x = 223,918,068,319.26/512,474.20
  6. Step 6: Final answer
    x = 436,935.30

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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.