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Finding the Fourth Proportional to 513,964.96, 709,137.12 and 296,120.32

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Solution

The fourth proportional to 513,964.96, 709,137.12 and 296,120.32 is: 408,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,964.96 : 709,137.12 = 296,120.32 : x
  2. Step 2: Convert to fraction form
    513,964.96/709,137.12 = 296,120.32/x
  3. Step 3: Cross multiply
    513,964.96x = 709,137.12 × 296,120.32
  4. Step 4: Simplify right side
    513,964.96x = 209,989,910,898.28
  5. Step 5: Solve for x
    x = 209,989,910,898.28/513,964.96
  6. Step 6: Final answer
    x = 408,568.54

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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.