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Finding the Fourth Proportional to 398,564.74, 597,846.30 and 161,851.96

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Solution

The fourth proportional to 398,564.74, 597,846.30 and 161,851.96 is: 242,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,564.74 : 597,846.30 = 161,851.96 : x
  2. Step 2: Convert to fraction form
    398,564.74/597,846.30 = 161,851.96/x
  3. Step 3: Cross multiply
    398,564.74x = 597,846.30 × 161,851.96
  4. Step 4: Simplify right side
    398,564.74x = 96,762,595,433.75
  5. Step 5: Solve for x
    x = 96,762,595,433.75/398,564.74
  6. Step 6: Final answer
    x = 242,777.61

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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.