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Finding the Fourth Proportional to 311,817.27, 430,153.12 and 201,397.94

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Solution

The fourth proportional to 311,817.27, 430,153.12 and 201,397.94 is: 277,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,817.27 : 430,153.12 = 201,397.94 : x
  2. Step 2: Convert to fraction form
    311,817.27/430,153.12 = 201,397.94/x
  3. Step 3: Cross multiply
    311,817.27x = 430,153.12 × 201,397.94
  4. Step 4: Simplify right side
    311,817.27x = 86,631,953,042.01
  5. Step 5: Solve for x
    x = 86,631,953,042.01/311,817.27
  6. Step 6: Final answer
    x = 277,829.24

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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.