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Finding the Fourth Proportional to 433,165.12, 597,527.88 and 251,857

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Solution

The fourth proportional to 433,165.12, 597,527.88 and 251,857 is: 347,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,165.12 : 597,527.88 = 251,857 : x
  2. Step 2: Convert to fraction form
    433,165.12/597,527.88 = 251,857/x
  3. Step 3: Cross multiply
    433,165.12x = 597,527.88 × 251,857
  4. Step 4: Simplify right side
    433,165.12x = 150,491,579,273.16
  5. Step 5: Solve for x
    x = 150,491,579,273.16/433,165.12
  6. Step 6: Final answer
    x = 347,423.12

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