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Finding the Fourth Proportional to 514,788.28, 771,723.14 and 261,927.34

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Solution

The fourth proportional to 514,788.28, 771,723.14 and 261,927.34 is: 392,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,788.28 : 771,723.14 = 261,927.34 : x
  2. Step 2: Convert to fraction form
    514,788.28/771,723.14 = 261,927.34/x
  3. Step 3: Cross multiply
    514,788.28x = 771,723.14 × 261,927.34
  4. Step 4: Simplify right side
    514,788.28x = 202,135,384,108.40
  5. Step 5: Solve for x
    x = 202,135,384,108.40/514,788.28
  6. Step 6: Final answer
    x = 392,657.32

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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.