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Finding the Fourth Proportional to 397,304.80, 595,957.20 and 172,918.60

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Solution

The fourth proportional to 397,304.80, 595,957.20 and 172,918.60 is: 259,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,304.80 : 595,957.20 = 172,918.60 : x
  2. Step 2: Convert to fraction form
    397,304.80/595,957.20 = 172,918.60/x
  3. Step 3: Cross multiply
    397,304.80x = 595,957.20 × 172,918.60
  4. Step 4: Simplify right side
    397,304.80x = 103,052,084,683.92
  5. Step 5: Solve for x
    x = 103,052,084,683.92/397,304.80
  6. Step 6: Final answer
    x = 259,377.90

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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.