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Finding the Fourth Proportional to 398,953.08, 597,912.57 and 162,020.52

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Solution

The fourth proportional to 398,953.08, 597,912.57 and 162,020.52 is: 242,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,953.08 : 597,912.57 = 162,020.52 : x
  2. Step 2: Convert to fraction form
    398,953.08/597,912.57 = 162,020.52/x
  3. Step 3: Cross multiply
    398,953.08x = 597,912.57 × 162,020.52
  4. Step 4: Simplify right side
    398,953.08x = 96,874,105,505.94
  5. Step 5: Solve for x
    x = 96,874,105,505.94/398,953.08
  6. Step 6: Final answer
    x = 242,820.80

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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.