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Finding the Fourth Proportional to 311,882.09, 430,361.13 and 175,918.28

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Solution

The fourth proportional to 311,882.09, 430,361.13 and 175,918.28 is: 242,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,882.09 : 430,361.13 = 175,918.28 : x
  2. Step 2: Convert to fraction form
    311,882.09/430,361.13 = 175,918.28/x
  3. Step 3: Cross multiply
    311,882.09x = 430,361.13 × 175,918.28
  4. Step 4: Simplify right side
    311,882.09x = 75,708,387,616.65
  5. Step 5: Solve for x
    x = 75,708,387,616.65/311,882.09
  6. Step 6: Final answer
    x = 242,746.83

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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.