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Finding the Fourth Proportional to 398,554.80, 597,832.20 and 161,905.20

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Solution

The fourth proportional to 398,554.80, 597,832.20 and 161,905.20 is: 242,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,554.80 : 597,832.20 = 161,905.20 : x
  2. Step 2: Convert to fraction form
    398,554.80/597,832.20 = 161,905.20/x
  3. Step 3: Cross multiply
    398,554.80x = 597,832.20 × 161,905.20
  4. Step 4: Simplify right side
    398,554.80x = 96,792,141,907.44
  5. Step 5: Solve for x
    x = 96,792,141,907.44/398,554.80
  6. Step 6: Final answer
    x = 242,857.80

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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.