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Finding the Fourth Proportional to 298,628.40, 411,962 and 191,112.24

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Solution

The fourth proportional to 298,628.40, 411,962 and 191,112.24 is: 263,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,628.40 : 411,962 = 191,112.24 : x
  2. Step 2: Convert to fraction form
    298,628.40/411,962 = 191,112.24/x
  3. Step 3: Cross multiply
    298,628.40x = 411,962 × 191,112.24
  4. Step 4: Simplify right side
    298,628.40x = 78,730,980,614.88
  5. Step 5: Solve for x
    x = 78,730,980,614.88/298,628.40
  6. Step 6: Final answer
    x = 263,641.97

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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.