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Finding the Fourth Proportional to 513,379.96, 708,179.94 and 298,496.28

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Solution

The fourth proportional to 513,379.96, 708,179.94 and 298,496.28 is: 411,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,379.96 : 708,179.94 = 298,496.28 : x
  2. Step 2: Convert to fraction form
    513,379.96/708,179.94 = 298,496.28/x
  3. Step 3: Cross multiply
    513,379.96x = 708,179.94 × 298,496.28
  4. Step 4: Simplify right side
    513,379.96x = 211,389,077,660.62
  5. Step 5: Solve for x
    x = 211,389,077,660.62/513,379.96
  6. Step 6: Final answer
    x = 411,759.50

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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.