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Finding the Fourth Proportional to 398,564.37, 597,845.74 and 161,851.59

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Solution

The fourth proportional to 398,564.37, 597,845.74 and 161,851.59 is: 242,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,564.37 : 597,845.74 = 161,851.59 : x
  2. Step 2: Convert to fraction form
    398,564.37/597,845.74 = 161,851.59/x
  3. Step 3: Cross multiply
    398,564.37x = 597,845.74 × 161,851.59
  4. Step 4: Simplify right side
    398,564.37x = 96,762,279,795.24
  5. Step 5: Solve for x
    x = 96,762,279,795.24/398,564.37
  6. Step 6: Final answer
    x = 242,777.05

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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.