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Finding the Fourth Proportional to 600,589.12, 828,729.12 and 510,310.72

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Solution

The fourth proportional to 600,589.12, 828,729.12 and 510,310.72 is: 704,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,589.12 : 828,729.12 = 510,310.72 : x
  2. Step 2: Convert to fraction form
    600,589.12/828,729.12 = 510,310.72/x
  3. Step 3: Cross multiply
    600,589.12x = 828,729.12 × 510,310.72
  4. Step 4: Simplify right side
    600,589.12x = 422,909,353,912.17
  5. Step 5: Solve for x
    x = 422,909,353,912.17/600,589.12
  6. Step 6: Final answer
    x = 704,157.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.