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Finding the Fourth Proportional to 299,120.43, 412,938.58 and 230,984.45

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Solution

The fourth proportional to 299,120.43, 412,938.58 and 230,984.45 is: 318,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,120.43 : 412,938.58 = 230,984.45 : x
  2. Step 2: Convert to fraction form
    299,120.43/412,938.58 = 230,984.45/x
  3. Step 3: Cross multiply
    299,120.43x = 412,938.58 × 230,984.45
  4. Step 4: Simplify right side
    299,120.43x = 95,382,388,731.79
  5. Step 5: Solve for x
    x = 95,382,388,731.79/299,120.43
  6. Step 6: Final answer
    x = 318,876.21

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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.