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Finding the Fourth Proportional to 397,181.46, 595,315.46 and 183,500.48

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Solution

The fourth proportional to 397,181.46, 595,315.46 and 183,500.48 is: 275,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,181.46 : 595,315.46 = 183,500.48 : x
  2. Step 2: Convert to fraction form
    397,181.46/595,315.46 = 183,500.48/x
  3. Step 3: Cross multiply
    397,181.46x = 595,315.46 × 183,500.48
  4. Step 4: Simplify right side
    397,181.46x = 109,240,674,608.46
  5. Step 5: Solve for x
    x = 109,240,674,608.46/397,181.46
  6. Step 6: Final answer
    x = 275,039.71

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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.