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Finding the Fourth Proportional to 397,231.74, 595,814.81 and 183,955.50

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Solution

The fourth proportional to 397,231.74, 595,814.81 and 183,955.50 is: 275,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,231.74 : 595,814.81 = 183,955.50 : x
  2. Step 2: Convert to fraction form
    397,231.74/595,814.81 = 183,955.50/x
  3. Step 3: Cross multiply
    397,231.74x = 595,814.81 × 183,955.50
  4. Step 4: Simplify right side
    397,231.74x = 109,603,410,361.18
  5. Step 5: Solve for x
    x = 109,603,410,361.18/397,231.74
  6. Step 6: Final answer
    x = 275,918.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.